Multiple solutions of semilinear elliptic equations with one-sided growth conditions
From MaRDI portal
Publication:5931734
DOI10.1016/S0895-7177(00)00211-9zbMath0970.35038MaRDI QIDQ5931734
Publication date: 25 April 2001
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
subdifferentialmultiple solutionsnonsmooth critical point theoryone-sided growth conditionsemilinear elliptic equation
Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational problems in infinite-dimensional spaces (58E99)
Related Items
On the existence of positive solutions and their continuous dependence on functional parameters for some class of elliptic problems ⋮ Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system via penalization method ⋮ Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well ⋮ Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system with steep potential ⋮ Multi-peak solutions for logarithmic Schrödinger equations with potentials unbounded below ⋮ Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category ⋮ Quasilinear Schrödinger–Poisson system with exponential and logarithmic nonlinearities ⋮ Existence of solution for a class of variational inequality in whole \(\mathbb{R}^N\) with critical growth: the local mountain pass case ⋮ Superlinear Dirichlet problems. ⋮ Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential ⋮ Existence of solution for a class of variational inequality in whole \(\mathbb{R}^N\) with critical growth ⋮ Multiple solutions to logarithmic Schrödinger equations with periodic potential ⋮ Existence and concentration behavior of solutions for the logarithmic Schrödinger-Bopp-Podolsky system ⋮ Existence and concentration of positive solutions for a Schrödinger logarithmic equation ⋮ ON THE LOGARITHMIC SCHRÖDINGER EQUATION ⋮ Existence, stability and approximation of solutions for a certain class of nonlinear BVPs ⋮ Multi-bump type nodal solutions for a logarithmic Schrödinger equation with deepening potential well ⋮ Fractional logarithmic Schrödinger equations ⋮ Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method ⋮ Multiple positive solutions for a Schrödinger logarithmic equation ⋮ Multiple solutions for a class of fractional logarithmic Schrödinger equations ⋮ A non-smooth variational approach to differential problems. A case study of non-resonance under the first eigenvalue for a strongly nonlinear elliptic problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear perturbations of a linear elliptic problem near its first eigenvalue
- Buckling of nonlinearly elastic rods in the presence of obstacles treated by nonsmoth critical point theory
- Deformation properties for continuous functionals and critical point theory
- A critical point theory for nonsmooth functionals
- Some properties of higher order Sobolev spaces
- Mountain pass theorems and global homeomorphism theorems
- Multiple solutions of quasilinear equations involving an area-type term
- Metric critical point theory. I: Morse regularity and homotopic stability of a minimum
- Euler equations involving nonlinearities without growth conditions
- Dual variational methods in critical point theory and applications
- Further remarks on nonlinear functional equations
- A strongly nonlinear elliptic boundary value problem
- Strongly nonlinear elliptic problems near resonance: a variational approach
- Optimization and nonsmooth analysis
- Boundary Value Problems for Strongly Nonlinear Elliptic Equations
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- Eine Variationsmethode für elliptische Differentialoperatoren mit strengen Nichtlinearitäten.
- Nonsmooth critical point theory and applications
- Subdifferential Calculus and Nonsmooth Critical Point Theory
- An approximation theorem in higher order Orlicz-Sobolev spaces and applications
- Nonlinear sturm‐lionville problems for second order ordinary differential equations