Cover Image

A new framework for Ljusternik-Schnirelmann theory and its application to planar Choquard equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cabrera, Omar, Cingolani, Silvia, Weth, Tobias
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35J47, 35J20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Chain-structure solutions to a Schrödinger-Poisson system in $\mathbb{R}^3$
by: Cabrera, Omar
Published: (2025)

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

Continuity of solutions to equations with weakly singular nonlocal operators
by: Jarohs, Sven, et al.
Published: (2023)

Normalized ground states for NLS equations with mass critical nonlinearities
by: Cingolani, Silvia, et al.
Published: (2025)

On the fractional NLS equation and the effects of the potential well's topology
by: Cingolani, Silvia, et al.
Published: (2020)

A Lagrangian approach for prescribed mass solutions of cubic-quintic Schrödinger equations and $L^2$-supercritical problems
by: Cingolani, Silvia, et al.
Published: (2026)

$p$-biharmonic Kirchhoff equations with critical Choquard nonlinearity
by: Goel, Divya, et al.
Published: (2025)

Uniqueness of positive radial solutions of Choquard type equations
by: Wang, Tao, et al.
Published: (2024)

Local uniqueness and non-degeneracy of blowup solutions for regular Liouville systems
by: Cheng, Zetao, et al.
Published: (2025)

Multiple solutions for Schr{ö}dinger-Poisson-Slater equations with critical growth
by: Liu, Shibo
Published: (2025)

Polyharmonic Nonlinear Scalar Field Equations
by: Cannone, Alessandro, et al.
Published: (2025)

Non-Ljusternik--Schnirelman eigenvalues of the pure $p$-Laplacian exist
by: Bobkov, Vladimir
Published: (2026)

Existence and regularity for an entire Grushin-Choquard equation
by: Bernini, Federico, et al.
Published: (2026)

Existence of ground state solutions to Kirchhoff--Choquard system in $\mathbb{R}^3$ with constant potentials
by: Matsuzawa, Hiroshi
Published: (2025)

Infinitely many solutions to a conformally invariant elliptic equation with Choquard-type nonlinearity
by: Almutairi, Mona, et al.
Published: (2025)

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

Solutions to discrete nonlinear Kirchhoff-Choquard equations with power nonlinearity
by: Wang, Lidan
Published: (2024)

p-Laplacian equations with general Choquard nonlinearity on lattice graphs
by: Wang, Lidan
Published: (2024)

Normalized solutions to an exponential growth Choquard equation driven by mixed local-nonlocal operator in $\mathbb{R}^2$
by: Nidhi, Nidhi, et al.
Published: (2026)

Positive solutions with prescribed mass for a planar Choquard equation with critical growth
by: Huang, Ling, et al.
Published: (2024)

On the de Thélin eigenvalue problem and Landesman-Lazer conditions for quasilinear systems
by: Arcoya, David, et al.
Published: (2026)

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

Normalized solutions to Kirchhoff equation with the Sobolev critical exponent in high dimensional spaces
by: Lu, Ruikang, et al.
Published: (2025)

Segregated solutions for nonlinear Schrödinger systems with sublinear coupling terms
by: Guo, Qing, et al.
Published: (2025)

Ljusternik-Schnirelmann eigenvalues for the fractional $m-$Laplacian without the $Δ_2$ condition
by: Bonder, Julian Fernandez, et al.
Published: (2024)

Solutions to discrete nonlinear Kirchhoff-Choquard equations
by: Wang, Lidan
Published: (2024)

On Choquard-Kirchhoff Type Critical Multiphase Problem
by: Arora, Anupma, et al.
Published: (2025)

Schauder-type estimates for fully nonlinear degenerate elliptic equations
by: Nascimento, Thialita M.
Published: (2024)

Existence of positive and sign-changing solutions for a Choquard equation involving mixed local and nonlocal operators
by: Chen, Shaoxiong, et al.
Published: (2026)

On the $p$-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity
by: Zhao, Min, et al.
Published: (2024)

Choquard equations with critical exponential nonlinearities in the zero mass case
by: Romani, Giulio
Published: (2024)

Spectrum properties of mixed operators under the mixed boundary conditions
by: Sharma, Lovelesh
Published: (2026)

On an eigenvalue problem associated with mixed operators under mixed boundary conditions
by: Giacomoni, Jacques, et al.
Published: (2024)

Normalized Solutions to the Kirchhoff-Choquard Equations with Combined Growth
by: Goel, Divya, et al.
Published: (2024)

Normalized ground states for nonlinear Schrödinger equations with general Sobolev critical nonlinearities
by: Liu, Manting, et al.
Published: (2022)

On critical double phase problems in $\mathbb{R}^N$ involving variable exponents
by: Ha, Hoang Hai, et al.
Published: (2024)

The concept of mapped coercivity for nonlinear operators in Banach spaces
by: Becker, Roland, et al.
Published: (2023)

Entire solutions to a quasilinear purely critical competitive system
by: Clapp, Mónica, et al.
Published: (2025)

Quasilinear Schrödinger Equation involving Critical Hardy Potential and Choquard type Exponential nonlinearity
by: Malhotra, Shammi, et al.
Published: (2024)

Remarks on criticality theory for Schrödinger operators and its application to wave equations with potentials
by: Sobajima, Motohiro
Published: (2025)