Principal eigenvalue of the p-laplacian in RN

DOI10.1016/S0362-546X(97)00400-8zbMath0890.35099OpenAlexW2074310855MaRDI QIDQ4378714

Yuji Murata, Yasuhiro Furusho

Publication date: 11 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00400-8

zbMATH Keywords

Dirichlet boundary value problemquasilinear operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Theoretical approximation in context of PDEs (35A35)

Related Items

Positive solutions for a quasilinear elliptic problem involving sublinear and superlinear terms, Maximal domains of the \((\lambda, \mu )\)-parameters to existence of entire positive solutions for singular quasilinear elliptic systems, Extinction and non-extinction for a \(p\)-Laplacian equation with nonlinear source, Global nonexistence of solutions with positive initial energy for a class of wave equations, Extremal curves for existence of positive solutions for multi-parameter elliptic systems in \(\mathbb{R}^N\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions of linear and quasilinear elliptic equations in unbounded domains
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• On the first eigenvalue of some quasilinear elliptic equations
• On the existence of bounded positive solutions of semilinear elliptic equations in exterior domains
• Regularity for a more general class of quasilinear equations
• On the solutions of linear elliptic equations in exterior domains
• The weak supersolution-subsolution method for second order quasilinear elliptic equations
• Oscillation and nonoscillation criteria for second order quasilinear differential equations
• Symmetric positive entire solutions of second-order quasilinear degenerate elliptic equations
• Principal eigenvalues for some quasilinear elliptic equations on \(\mathbb R^N\)
• Linear and quasilinear elliptic equations
• On The Dirichletproblem for Quasilinear Equations
• Generalization of Fredholm alternative for nonlinear differential operators
• On harnack type inequalities and their application to quasilinear elliptic equations