CONTINUITY OF THE VARIATIONAL EIGENVALUES OF THE p-LAPLACIAN WITH RESPECT TO p

DOI10.1017/S000497271100205XzbMath1217.35130MaRDI QIDQ3004954

Enea Parini

Publication date: 6 June 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for eigenvalues of operators (49R05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (12)

Convergence of the eigenvalues of the \(p\)-Laplace operator as \(p\) goes to 1 ⋮ Eigenvalues for double phase variational integrals ⋮ Monotonicity properties for the variational Dirichlet eigenvalues of the \(p\)-Laplace operator ⋮ Stability of variational eigenvalues for the fractional \(p\)-Laplacian ⋮ On the dependence on \(p\) of the variational eigenvalues of the \(p\)-Laplace operator ⋮ Stability of eigenvalues for variable exponent problems ⋮ On the continuity of the Luxemburg norm of the gradient in $L^{p(\cdot )}$ with respect to $p(\cdot )$ ⋮ The stability of eigenvalues for the \(p(x)\)-Laplacian equations involving Robin boundary conditions ⋮ Non-resonant Fredholm alternative and anti-maximum principle for the fractional \(p\)-Laplacian ⋮ On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the \(p\)-Laplacian on a disk ⋮ Perturbation results involving the 1-Laplace operator ⋮ Conformal upper bounds for the eigenvalues of the p‐Laplacian

Cites Work

• On the higher eigenvalues for the \(\infty\)-eigenvalue problem
• The \(\infty\)-eigenvalue problem
• On the eigenvalues of the $p$-Laplacian with varying $p$
• Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators

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