On the dependence on \(p\) of the variational eigenvalues of the \(p\)-Laplace operator
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Publication:907309
DOI10.1007/s11118-015-9487-0zbMath1334.35196OpenAlexW1691461481MaRDI QIDQ907309
Marco Marzocchi, Marco Degiovanni
Publication date: 25 January 2016
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-015-9487-0
\(p\)-Laplace operatornonlinear eigenvaluesvariational convergencecontinuous dependence of eigenvalues
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Eigenvalues for double phase variational integrals ⋮ Monotonicity, continuity and differentiability results for the \(L^{p}\) Hardy constant ⋮ The stability of eigenvalues for the \(p(x)\)-Laplacian equations involving Robin boundary conditions
Cites Work
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- On nonlinear Rayleigh quotients
- Simplicity of principal eigenvalue for \(p\)-Laplace operator with singular indefinite weight
- Simplicity of the principal eigenvalue for indefinite quasilinear problems
- Functional analysis, Sobolev spaces and partial differential equations
- Regularity for a more general class of quasilinear equations
- Best constant in Sobolev inequality
- Bifurcation for odd potential operators and an alternative topological index
- Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
- Topological methods for variational problems with symmetries
- An introduction to \(\Gamma\)-convergence
- A direct uniqueness proof for equations involving the \(p\)-Laplace operator
- Minimax theorems
- A note on positive eigenfunctions and hidden convexity
- A strong maximum principle for some quasilinear elliptic equations
- A class of degenerate elliptic eigenvalue problems
- CONTINUITY OF THE VARIATIONAL EIGENVALUES OF THE p-LAPLACIAN WITH RESPECT TO p
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- On the Principal Eigencurve of thep-Laplacian: Stability Phenomena
- On the dependence on p of the variational eigenvalues of the p-Laplace operator
- Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators
- Positive eigenfunctions for the p-Laplace operator revisited
