Nodal solutions for a supercritical problem with variable exponent and logarithmic nonlinearity
From MaRDI portal
Publication:6085429
DOI10.3934/dcds.2023093zbMath1528.35063OpenAlexW4386107258MaRDI QIDQ6085429
Publication date: 8 November 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2023093
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cordes-Nirenberg theory in variable exponent spaces
- Multiple solutions to logarithmic Schrödinger equations with periodic potential
- Nodal solutions for a generalized quasilinear Schrödinger equation with critical exponents
- On supercritical Sobolev type inequalities and related elliptic equations
- Lebesgue and Sobolev spaces with variable exponents
- Best constant in Sobolev inequality
- Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
- Sign-changing multi-bump solutions for Kirchhoff-type equations in \(\mathbb{R}^3\)
- Nodal solutions for a supercritical semilinear problem with variable exponent
- Convergence from power-law to logarithm-law in nonlinear scalar field equations
- Some existence results for superlinear elliptic boundary value problems involving critical exponents
- Minimax theorems
- Existence and concentration of positive solutions for a Schrödinger logarithmic equation
- Sign-changing solutions for a parameter-dependent quasilinear equation
- A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations
- On fractional logarithmic Schrödinger equations
- Multiple sign-changing solutions for a class of Schrödinger equations with saturable nonlinearity
- Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method
- Multiple positive solutions for a Schrödinger logarithmic equation
- Nonlinear elliptic equations with variable exponent: old and new
- Existence of entire solutions for a class of variable exponent elliptic equations
- Radial sign-changing solution for fractional Schrödinger equation
- Stable solutions of the logarithmic Schrödinger equation
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- The Poincare-Miranda Theorem
- Existence and multiplicity of solutions for logarithmic Schrödinger equations with potential
- Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$
- Partial Differential Equations with Variable Exponents
- Multiple solutions for logarithmic Schrödinger equations