Cover Image

An infinite-dimensional mountain pass theorem with applications to nonlinear elliptic systems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Songo, Ablanvi, Colin, Fabrice
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35A15, 35J61, 58E05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An infinite dimensional saddle point theorem and application
by: Colin, Fabrice, et al.
Published: (2025)

A new infinite-dimensional Linking theorem with application to a system of coupled Poisson equations
by: Songo, Ablanvi, et al.
Published: (2025)

Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities
by: Songo, Ablanvi
Published: (2025)

On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in $\mathbb{R}^2$
by: Songo, Ablanvi, et al.
Published: (2025)

Application of a profile decomposition theorem to elliptic equations with critical growth
by: Ferraz, Diego
Published: (2026)

Asymptotically linear fractional problems with mixed boundary conditions
by: Bisci, Giovanni Molica, et al.
Published: (2026)

Infinitely many solutions for a Schrodinger equation with sign-changing potential and nonlinear term
by: Gu, Long-Jiang, et al.
Published: (2019)

Global branching for semilinear fractional Laplace with sublinear nonlinearity
by: Abrantes, Jefferson, et al.
Published: (2025)

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

Nonlocal critical problems with mixed boundary conditions and nearly resonant perturbations
by: Colorado, Eduardo, et al.
Published: (2025)

An inverse problem for semilinear elliptic equations with generalized Kerr-type nonlinearities
by: Kow, Pu-Zhao, et al.
Published: (2025)

Normalized solutions to Schrödinger equations in the strongly sublinear regime
by: Mederski, Jarosław, et al.
Published: (2023)

Note on elliptic equations on closed manifolds with singular nonlinearities
by: Bieganowski, Bartosz, et al.
Published: (2025)

Singular solutions and bifurcation diagram of semilinear elliptic equations with general nonlinearity in two dimensions
by: Kikuchi, Hiroaki, et al.
Published: (2025)

Multiplicity of critical orbits to nonlinear, strongly indefinite functionals with sign-changing nonlinear part
by: Bernini, Federico, et al.
Published: (2024)

A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
by: Adachi, Shinji, et al.
Published: (2016)

Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity
by: Cabre, Xavier, et al.
Published: (2024)

Morse Index Stability for the Ginzburg-Landau Approximation
by: Da Lio, Francesca, et al.
Published: (2024)

Liouville theorems and gradient estimates of a nonlinear elliptic equation for the V-Laplacian
by: Jia, Yike
Published: (2026)

Analysis of the sine-Gordon equation with a nonlinear $δ$-potential
by: Moroni, Sergio, et al.
Published: (2026)

Topics in elliptic problems: from semilinear equations to shape optimization
by: Tavares, Hugo
Published: (2023)

An interpolation approach to $L^{\infty}$ a priori estimates for elliptic problems with nonlinearity on the boundary
by: Chhetri, Maya, et al.
Published: (2024)

Schrodinger-Poisson-Slater equations with nonlinearity subscaled near zero
by: Liu, Shibo, et al.
Published: (2025)

Quantization for sequences of blow-up solutions to an elliptic equation having nonlocal exponential nonlinearity
by: Gluck, Mathew
Published: (2025)

Log-type ultra-analyticity of elliptic equations with gradient terms
by: Dong, Hongjie, et al.
Published: (2024)

Nonlinear elliptic Dirichlet boundary value problems on time scales
by: Bandyopadhyay, Shalmali, et al.
Published: (2026)

Multiple solutions to asymptotically linear problems driven by superposition operators
by: Afonso, Danilo Gregorin, et al.
Published: (2025)

Multiple solutions for superlinear fractional $p$-Laplacian equations
by: Iannizzotto, Antonio, et al.
Published: (2024)

Existence and Concentration of Multiple Positive Solutions for a Logarithmic Fractional Schrödinger--Poisson System
by: Luo, Jiao, et al.
Published: (2026)

Interval bifurcation theorems for Fredholm operator and its application to an elliptic overdetermined problem in bounded domains
by: Dai, Guowei, et al.
Published: (2023)

An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems
by: Recke, Lutz
Published: (2026)

Comparison methods for semilinear elliptic problems on Riemannian manifolds with a Ricci lower bound
by: Espinar, José M., et al.
Published: (2026)

Global Compactness and Existence for Higher Order Critical Equations on Hyperbolic Spaces
by: Li, Jungang, et al.
Published: (2024)

A Liouville type result for fractional GJMS equations on higher dimensional spheres
by: Lê, Quynh N. T., et al.
Published: (2023)

Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
by: Fujishima, Yohei, et al.
Published: (2024)

Abstract multiplicity theorems and applications to critical growth problems
by: Perera, Kanishka
Published: (2023)

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

On the first eigenvalue of Liouville-type problems
by: Bartolucci, Daniele, et al.
Published: (2023)

Note on homoclinic solutions to nonautonomous Hamiltonian systems with sign-changing nonlinear part
by: Bernini, Federico, et al.
Published: (2024)

Regularity for quasilinear elliptic equations in metric measure spaces
by: Schulz, Simon, et al.
Published: (2025)