Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
DOI10.1112/BLMS.12961arXiv2302.13077OpenAlexW4389219257MaRDI QIDQ6190525
Tian-Xiang Gou, Vicenţiu D. Rădulescu
Publication date: 5 March 2024
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.13077
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Spectral theory; eigenvalue problems on manifolds (58C40) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of weak solutions of parabolic systems with \(p,q\)-growth
- Eigenvalues for double phase variational integrals
- Lebesgue and Sobolev spaces with variable exponents
- On the solutions of the \((p, q)\)-Laplacian problem at resonance
- Orlicz spaces and generalized Orlicz spaces
- Regularity for general functionals with double phase
- On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
- Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
- Resonant double phase equations
- Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence
- Constant sign and nodal solutions for superlinear double phase problems
- Regularity for double phase variational problems
- Constant sign solutions for double phase problems with superlinear nonlinearity
- Multiple solutions for a class of double phase problem without the Ambrosetti-Rabinowitz conditions
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- A double phase problem involving Hardy potentials
- Non-autonomous \((p, q)\)-equations with unbalanced growth
- On some linear and nonlinear eigenvalue problems with an indefinite weight function
- On the eigenvalues and eigenfunctions of elastic plates
- Multiple solutions for parametric double phase Dirichlet problems
This page was built for publication: Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
