Existence of the eigenvalues for the cone degenerate \(p\)-Laplacian
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Publication:2044107
DOI10.1007/s11401-021-0254-9zbMath1472.35188OpenAlexW3147060972MaRDI QIDQ2044107
Publication date: 4 August 2021
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-021-0254-9
Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
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- Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents
- Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities
- Pseudo-differential operators, singularities, applications
- Infinitely many solutions for \(p\)-Laplacian equation involving critical Sobolev growth
- Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents
- Realizations of differential operators on conic manifolds with boundary
- Functional analysis, Sobolev spaces and partial differential equations
- Resonance problems for the \(p\)-Laplacian
- Ljusternik-Schnirelman theory and non-linear eigenvalue problems
- Some aspects of nonlinear eigenvalue problems
- Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds
- Multiple and sign-changing solutions for the multivaluedp-Laplacian equation
- Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces
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