Nonradial normalized solutions for a quasilinear Schrödinger equation via dual approach

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Zhang, Lin
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Analysis of PDEs 35B38, 35J62
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity
von: Deng, Ting, et al.
Veröffentlicht: (2024)

Second-order boundary estimates for solutions to a class of quasilinear elliptic equations
von: Spadaro, Giuseppe, et al.
Veröffentlicht: (2025)

Modified quasilinear equations with strongly singular and critical exponential nonlinearities
von: Biswas, Reshmi, et al.
Veröffentlicht: (2022)

Harnack inequalities for quasilinear anisotropic elliptic equations with a first order term
von: Vuono, Domenico
Veröffentlicht: (2025)

Sharp and improved regularity estimates for weighted quasilinear elliptic equations of $p-$Laplacian type and applications
von: da Silva, João Vitor, et al.
Veröffentlicht: (2024)

Normalized solutions for a fractional Schrödinger-Poisson system with critical growth
von: He, Xiaoming, et al.
Veröffentlicht: (2024)

Finite energy solutions of quasilinear elliptic equations with Orlicz growth
von: da Silva, Estevan Luiz, et al.
Veröffentlicht: (2025)

On some multiple solutions for a $p(x)$-Laplace equation with supercritical growth
von: Zhao, Lin
Veröffentlicht: (2024)

Normalized solutions for Choquard equations with critical nonlinearities on bounded domains
von: Yan, Ru
Veröffentlicht: (2025)

On the number and geometric location of critical points of solutions to a semilinear elliptic equation in annular domains
von: Deng, Haiyun, et al.
Veröffentlicht: (2023)

Existence and multiplicity of normalized solutions for $(2,q)$-Laplacian equations with generic double-behaviour nonlinearities
von: Ding, Rui, et al.
Veröffentlicht: (2024)

Concavity properties for quasilinear equations and optimality remarks
von: Almousa, Nouf M., et al.
Veröffentlicht: (2023)

Uniqueness of the critical points of solutions to two kinds of semilinear elliptic equations in higher dimensional domains
von: Deng, Haiyun, et al.
Veröffentlicht: (2024)

Compactness via monotonicity in nonsmooth critical point theory, with application to Born-Infeld type equations
von: Byeon, Jaeyoung, et al.
Veröffentlicht: (2024)

Multiple solutions to a class of $p$-Laplacian Schrödinger equations
von: Zhang, Lin
Veröffentlicht: (2025)

Ground state solution for a generalized Choquard Schrodinger equation with vanishing potential in homogeneous fractional Musielak Sobolev spaces
von: Gupta, Shilpa, et al.
Veröffentlicht: (2023)

Existence of multiple radial solutions for nonlinear equation involving the mean curvature operator in Lorentz-Minkowski space
von: Zelati, Vittorio Coti, et al.
Veröffentlicht: (2024)

Acoustic limit of Boltzmann equations for gas mixture
von: Wang, Gaofeng, et al.
Veröffentlicht: (2026)

Concentration-compactness via profile decomposition for systems of coupled Schrödinger equations of Hamiltonian type
von: Cardoso, Anderson, et al.
Veröffentlicht: (2024)

Multiplicity and asymptotics of positive solutions for critical-concave Kirchhoff equation
von: Tang, Zhi-Yun, et al.
Veröffentlicht: (2026)

Normalized Solutions for Schrödinger-Bopp-Podolsky Systems with Critical Choquard-Type Nonlinearity on Bounded Domains
von: Chen, Li, et al.
Veröffentlicht: (2026)

Mixed-dispersion Schrödinger equations and Gagliardo-Nirenberg inequalities: equivalence between ground states and optimizers
von: Liu, Zhisu, et al.
Veröffentlicht: (2026)

New type of solutions for Schrödinger equations with critical growth
von: Gao, Yuan, et al.
Veröffentlicht: (2024)

Positive solutions of the $\mathcal{A}$-Laplace equation with a potential
von: Hou, Yongjun, et al.
Veröffentlicht: (2021)

Existence of solutions to a quasilinear nonlocal PDE
von: Carrero, Lisbeth, et al.
Veröffentlicht: (2024)

Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities
von: Mennuni, Federica, et al.
Veröffentlicht: (2024)

Biharmonic nonlinear vector field equations in $\mathbb{R}^4$
von: Arkoudis, Ioannis, et al.
Veröffentlicht: (2025)

Exotic traveling waves for a quasilinear Schrödinger equation with nonzero background
von: de Laire, André, et al.
Veröffentlicht: (2023)

On nodal solutions with a prescribed number of nodes for a Kirchhoff-type problem
von: Fan, Haining, et al.
Veröffentlicht: (2025)

Least Energy Solutions for Cooperative and Competitive Schrödinger Systems with Neumann Boundary Conditions
von: Mauro, Simone, et al.
Veröffentlicht: (2025)

Existence and nonexistence of infinitely many solutions to elliptic problems with oscillating nonlinearities
von: Aparicio, Antonio J. Martínez, et al.
Veröffentlicht: (2026)

Classical solutions to the Boltzmann equations for gas mixture with unequal molecular masses
von: Wang, Gaofeng, et al.
Veröffentlicht: (2026)

Interior regularity of some weighted quasi-linear equations
von: Castro, Hernán
Veröffentlicht: (2024)

Interior regularity of doubly weighted quasi-linear equations
von: Castro, Hernán
Veröffentlicht: (2024)

Normalized solutions for nonlinear Schrödinger equations with $L^2$-critical nonlinearity
von: Cingolani, Silvia, et al.
Veröffentlicht: (2024)

Qualitative properties of the fractional magnetic $p$-Laplacian and applications to critical quasilinear problems
von: Baldelli, Laura, et al.
Veröffentlicht: (2026)

Pohozaev-type identities for classes of quasilinear elliptic local and nonlocal equations and systems, with applications
von: Anthal, Gurdev Chand, et al.
Veröffentlicht: (2025)

The moving plane method and the uniqueness of high order elliptic equation with GJMS operator
von: Zhang, Shihong
Veröffentlicht: (2022)

Multiplicity of solutions with prescribed mass for a quasilinear critical Choquard equation driven by a local-nonlocal operator
von: Giacomoni, J., et al.
Veröffentlicht: (2026)

Existence and limiting profile of energy ground states for a quasi-linear Schrödinger equations: Mass super-critical case
von: Jeanjean, Louis, et al.
Veröffentlicht: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"483cdd3c7beb746b0e55297779baedcc"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790979656.6728 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "483cdd3c7beb746b0e55297779baedcc" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; VUFIND_SESSION=483cdd3c7beb746b0e55297779baedcc; language=de"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"14391"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2509_05557/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2509_05557/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790979656.6576
REQUEST_TIME	1790979656

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler