A new linking theorem for Lipschitz functionals and its application
From MaRDI portal
Publication:6649872
DOI10.1007/s00033-024-02374-wMaRDI QIDQ6649872
Zhisu Liu, Peng Chen, Long-Jiang Gu
Publication date: 6 December 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized saddle point theorem and asymptotically linear problems with periodic potential
- An infinite-dimensional linking theorem without upper semi-continuous assumption and its applications
- Existence of a nontrivial solution for a strongly indefinite periodic Choquard system
- Solutions of the fractional Schrödinger equation with a sign-changing nonlinearity
- Solutions to a nonlinear Schrödinger equation with periodic potential and zero on the boundary of the spectrum
- Existence of solutions for an NSE with discontinuous nonlinearity
- Nonlinear perturbations of a periodic elliptic problem with discontinuous nonlinearity in \({\mathbb{R}}^{N}\)
- Existence of solution for a partial differential inclusion in \(\mathbb{R}^N\) with steep potential well
- Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Ground state solutions for some indefinite variational problems
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Existence of solutions for semilinear elliptic equations with indefinite linear part
- On a nonlinear Schrödinger equation with periodic potential
- Mountain pass theorems for non-differentiable functions and applications
- Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
- Minimax theorems
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Generalized Fountain theorem for locally Lipschitz functionals and application
- Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities
- Existence of solution for Schrödinger equation with discontinuous nonlinearity and asymptotically linear
- A generalized min-max theorem for functionals of strongly indefinite sign
- Generalized Fountain Theorem and applications to strongly indefinite semilinear problems
- Multiple solutions for a Choquard system with periodic potential
- Linking-type results in nonsmooth critical point theory and applications
- An improved Fountain theorem and its application
- Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities
- Existence and multiplicity results for a class of Schrödinger equations with indefinite nonlinearities
- Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem
- Deformation theorems on non-metrizable vector spaces and applications to critical point theory
- The obstacle problem and partial differential equations with discontinuous nonlinearities
- Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
- AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
- Existence and Concentration of Solutions for a Class of Elliptic Problems with Discontinuous Nonlinearity in $\mathbf{R}^{N}$
- A variational approach to discontinuous problems with critical Sobolev exponents
- On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems
- Existence of solution for a class of indefinite variational problems with discontinuous nonlinearity
This page was built for publication: A new linking theorem for Lipschitz functionals and its application