A nodal domain property for the p-Laplacian
From MaRDI portal
Publication:4489340
DOI10.1016/S0764-4442(00)00245-7zbMath0954.35124WikidataQ126778556 ScholiaQ126778556MaRDI QIDQ4489340
Mabel Cuesta, Jean Pierre Gossez, Djairo Guedes de Figueiredo
Publication date: 5 February 2001
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (18)
On the Hong-Krahn-Szego inequality for the \(p\)-Laplace operator ⋮ Eigenvalues of the \(p(x)\)-Laplacian Neumann problems ⋮ On the strict monotonicity of the first eigenvalue of the 𝑝-Laplacian on annuli ⋮ Estimates on the spectral interval of validity of the anti-maximum principle ⋮ Sign-changing and constant-sign solutions for \(p\)-Laplacian problems with jumping nonlinearities ⋮ Symmetric matrices, signed graphs, and nodal domain theorems ⋮ Nodal decompositions of graphs ⋮ An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities ⋮ Eigenvalues of the \(p(x)\)-Laplacian Steklov problem ⋮ On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the \(p\)-Laplacian on a disk ⋮ On a \(p\)-Laplace Neumann problem with asymptotically asymmetric perturbations ⋮ On the higher eigenvalues for the \(\infty\)-eigenvalue problem ⋮ On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators ⋮ On sign-changing solutions for resonant (p,q)-Laplace equations ⋮ The limit as $p\to 1$ of the higher eigenvalues of the $p$-Laplacian operator $\Delta_p$ ⋮ On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations ⋮ Existence of a non-trivial solution for the \(p\)-Laplacian equation with Fučík-type resonance at infinity. III ⋮ On the generalization of the Courant nodal domain theorem
This page was built for publication: A nodal domain property for the p-Laplacian
