On the dependence on p of the variational eigenvalues of the p-Laplace operator

zbMath1319.35146arXiv1504.07403MaRDI QIDQ5247747

Marco Marzocchi, Marco Degiovanni

Publication date: 27 April 2015

Full work available at URL: https://arxiv.org/abs/1504.07403

zbMATH Keywords

eigenvalue\(p\)-Laplace operatorminimax valuevariational convergence

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for eigenvalues of operators (49R05)

Related Items (8)

Eigenvalues for double phase variational integrals ⋮ The Allen-Cahn equation on closed manifolds ⋮ Stability of variational eigenvalues for the fractional \(p\)-Laplacian ⋮ On the dependence on \(p\) of the variational eigenvalues of the \(p\)-Laplace operator ⋮ Optimization of nonlinear eigenvalues under measure or perimeter constraint ⋮ Stability of eigenvalues for variable exponent problems ⋮ The stability of eigenvalues for the \(p(x)\)-Laplacian equations involving Robin boundary conditions ⋮ Optimization results for the higher eigenvalues of the p‐Laplacian associated with sign‐changing capacitary measures

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