Multi-bump solutions for quasilinear elliptic equations with variable exponents and critical growth in ℝN
DOI10.1142/S0219199720500133zbMath1479.35483OpenAlexW3005576905MaRDI QIDQ5002162
Chao Ji, Vicenţiu D. Rădulescu
Publication date: 27 July 2021
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199720500133
critical exponentvariational methodvariable exponent Sobolev spaces\(p(x)\)-Laplacianexistence of multi-bump solutions
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Remarks on the existence of three solutions for the \(p(x)\)-Laplacian equations
- Lebesgue and Sobolev spaces with variable exponents
- An eigenvalue of an anisotropic quasilinear elliptic equation with variable exponent and Neumann boundary condition
- Multi-bump solutions for a class of quasilinear problems involving variable exponents
- The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
- Functional analysis, Sobolev spaces and partial differential equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Multiplicity of positive solutions of a nonlinear Schrödinger equation
- Bounds for the singular set of solutions to non linear elliptic systems
- The singular set of solutions to non-differentiable elliptic systems
- Electrorheological fluids: modeling and mathematical theory
- On a \(p(x)\)-biharmonic problem with singular weights
- Double phase anisotropic variational problems and combined effects of reaction and absorption terms
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Minimax theorems
- Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
- Nonlinear elliptic equations with variable exponent: old and new
- Local existence conditions for an equations involving the \(p(x)\)-Laplacian with critical exponent in \(\mathbb R^N\)
- Existence of entire solutions for a class of variable exponent elliptic equations
- Multiplicity of positive solutions for a class of problems with exponential critical growth in \(\mathbb R^2\)
- Linear and quasilinear elliptic equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Existence of Multi-Bump Solutions For a Class of Quasilinear Problems
- Multiplicity of positive solutions for a class of problems with critical growth in ℝN
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- On equidistant sets in normed linear spaces
- Some remarks on the regularity of minima of anisotropic integrals
- A class of De Giorgi type and Hölder continuity
- On a class of semilinear elliptic problems in ℝN with critical growth
- On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
- A monotone property of the ground state energy to the scalar field equation and applications
- Isotropic and anisotropic double-phase problems: old and new
- Partial Differential Equations with Variable Exponents
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Nonlinear perturbations of a periodic elliptic problem with critical growth.
- Multiplicity results for some nonlinear Schrödinger equations with potentials
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Multi-bump solutions for quasilinear elliptic equations with variable exponents and critical growth in ℝN
