On solvability of nonlinear eigenvalue problems for degenerate PDEs of elliptic type
From MaRDI portal
Publication:5374205
DOI10.1080/17476933.2017.1322075zbMath1387.35296OpenAlexW2729339402MaRDI QIDQ5374205
Publication date: 9 April 2018
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2017.1322075
Spectral theory and eigenvalue problems for partial differential equations (35P99) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials
- Positive solution for a class of degenerate quasilinear elliptic equations in \(\mathbb R^N\)
- On equivalent conditions for the validity of Poincaré inequality on weighted Sobolev space with applications to the solvability of degenerated PDEs involving \(p\)-Laplacian
- Convex functions, monotone operators and differentiability.
- Existence results for degenerate quasilinear elliptic equations in weighted Sobolev spaces
- A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities
- Positive solutions for a class of equations with a \(p\)-Laplace like operator and weights
- Hardy inequalities and some critical elliptic and parabolic problems
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
- On the variational principle
- Remarks on the uniqueness of a solution of the Dirichlet problem for second-order elliptic equations with lower-order terms
- Qualitative properties of ground states for singular elliptic equations with weights
- Hardy-type inequalities derived from \(p\)-harmonic problems
- On one extension theorem dealing with weighted Orlicz-Slobodetskii space. Analysis on Lipschitz subgraph and Lipschitz domain
- On proper formulation of boundary condition for degenerated PDEs when trace embedding theorems are missing and application to nonhomogeneous BVPs
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On a variant of the Hardy inequality between weighted Orlicz spaces
- The local regularity of solutions of degenerate elliptic equations
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- On one extension theorem dealing with weighted Orlicz-Slobodetskii space. Analysis on cube
- Classification of Global and Blow-up Sign-changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-order Diffusion
- The Poisson problem in weighted Sobolev spaces on Lipschitz domains
- Sobolev Spaces