Antimaximum principle in exterior domains

DOI10.1016/j.na.2015.10.010zbMath1329.35158OpenAlexW2209596603MaRDI QIDQ898370

Sarath Sasi, Pavel Drábek, T. V. Anoop, Lakshmi N. Sankar

Publication date: 8 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.10.010

zbMATH Keywords

\(p\)-Laplacianexterior domainspositive eigenfunctionsregularity resultslocal and global antimaximum principle

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

The Fredholm alternative for the \(p\)-Laplacian in exterior domains ⋮ On the eigenvalue problem involving the weighted \(p\)-Laplacian in radially symmetric domains ⋮ On global bifurcation for the nonlinear Steklov problems

Cites Work

• An anti-maximum principle for linear elliptic equations with an indefinite weight function
• On the antimaximum principle for the \(p\)-Laplacian with indefinite weight
• Spectral analysis of nonlinear operators
• A new proof of anti-maximum principle via a bifurcation approach
• Regularity for a more general class of quasilinear equations
• An anti-maximum principle for second order elliptic operators
• Antimaximum principle in \(\mathbb R^N\): local versus global.
• Hopf's lemma and anti-maximum principle in general domains
• A strong maximum principle for some quasilinear elliptic equations
• Weighted quasilinear eigenvalue problems in exterior domains
• Local behavior of solutions of quasi-linear equations
• Sur la complétion par rapport à une intégrale de Dirichlet
• Boundary regularity for solutions of degenerate elliptic equations
• A Picone's identity for the p-Laplacian and applications
• Principal Eigenvalues and Anti - Maximum Principle for Some Quasilinear Elliptic Equations on ℝN
• The Area and Variation of Linearly Continuous Functions
• Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ

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