Liouville theorems for elliptic problems in variable exponent spaces
From MaRDI portal
Publication:507298
DOI10.3934/cpaa.2017026zbMath1358.35038OpenAlexW2574248262MaRDI QIDQ507298
Sylwia Dudek, Iwona Skrzypczak
Publication date: 3 February 2017
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2017026
Liouville theorem\(p\)-Laplacian\(p(x)\)-Laplacianvariable exponent Lebesgue spaceCaccioppoli inequalitynonexistence of solutions
Nonlinear elliptic equations (35J60) Inequalities involving derivatives and differential and integral operators (26D10) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces, The Liouville-type theorem for problems with nonstandard growth derived by Caccioppoli-type estimate, Caccioppoli-type estimates and Hardy-type inequalities derived from weighted \(p\)-harmonic problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonexistence results for differential inequalities involving \(A\)-Laplacian
- Variable Lebesgue spaces. Foundations and harmonic analysis
- On equivalent conditions for the validity of Poincaré inequality on weighted Sobolev space with applications to the solvability of degenerated PDEs involving \(p\)-Laplacian
- Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
- Lebesgue and Sobolev spaces with variable exponents
- The Liouville theorems for elliptic equations with nonstandard growth
- Hardy-Poincaré inequalities and applications to nonlinear diffusions
- Thermo-visco-elasticity for Norton-Hoff-type models
- Positive solutions of the \(p(x)\)-Laplace equation with singular nonlinearity
- Overview of differential equations with non-standard growth
- A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities
- Harnack's inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\)
- Liouville theorems for anisotropic quasilinear inequalities
- Nonexistence of positive weak solutions of elliptic inequalities
- On some variational problems
- On the modeling of electrorheological materials
- Electrorheological fluids: modeling and mathematical theory
- A priori estimates and reduction principles for quasilinear elliptic problems and applications
- Some Liouville theorems for quasilinear elliptic inequalities
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Some generalizations of the Bernstein theorem
- Elliptic problems in generalized Orlicz-Musielak spaces
- Liouville theorems for elliptic systems and applications
- The Liouville theorem for homogeneous elliptic differential inequalities
- Existence of entire solutions for a class of variable exponent elliptic equations
- Unbounded supersolutions of nonlinear equations with nonstandard growth
- Entire solutions of multivalued nonlinear Schrödinger equations in Sobolev spaces with variable exponent
- Hardy-type inequalities derived from \(p\)-harmonic problems
- Nonexistence results for some nonlinear elliptic and parabolic inequalities with functional parameters
- Existence result for hemivariational inequality involving p(x)-Laplacian
- Existence and regularity for mixtures of micromagnetic materials
- POSITIVE SOLUTIONS TOp(x)-LAPLACIAN–DIRICHLET PROBLEMS WITH SIGN-CHANGING NON-LINEARITIES
- Hardy–Poincaré type inequalities derived from p-harmonic problems
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids
- Regularity results for a class of functionals with non-standard growth
- Nonexistence of positive solutions of PDE's with \(p\)-Laplacian
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
