Antimaximum principle in \(\mathbb R^N\): local versus global.

DOI10.1016/j.jde.2003.07.006zbMath1161.35325OpenAlexW2084970202MaRDI QIDQ1419818

Jean Pierre Gossez, Francois de Thelin, Jacqueline Fleckinger-Pellé

Publication date: 26 January 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.07.006

zbMATH Keywords

unbounded domain\(p\)-Laplacianindefinite weightPrincipal eigenvalueantimaximum principle

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Ground state alternative for \(p\)-Laplacian with potential term, Unnamed Item, Antimaximum principle in exterior domains, Principal eigenvalue in an unbounded domain with indefinite potential, Quasi uniformity for the abstract Neumann antimaximum principle and applications with a priori estimates, On the antimaximum principle for the \(p\)-Laplacian with indefinite weight

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the antimaximum principle for the \(p\)-Laplacian with indefinite weight
• Spectral analysis of nonlinear operators
• Regularity for a more general class of quasilinear equations
• An anti-maximum principle for second order elliptic operators
• An extension of maximum and anti-maximum principles to a Schrödinger equation in \(\mathbb{R}^2\)
• Principal eigenvalues for some quasilinear elliptic equations on \(\mathbb R^N\)
• Extension of Díaz-Saá's inequality in \(\mathbb{R}^N\) and application to a system of \(p\)-Laplacian.
• Hopf's lemma and anti-maximum principle in general domains
• A strong maximum principle for some quasilinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• ANTI-MAXIMUM PRINCIPLES FOR INDEFINITE-WEIGHT ELLIPTIC PROBLEMS
• A Picone's identity for the p-Laplacian and applications
• Principal Eigenvalues and Anti - Maximum Principle for Some Quasilinear Elliptic Equations on ℝN
• Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ