A positive solution branch for nonlinear eigenvalue problems in \(\mathbb R^N\)

DOI10.1016/J.NA.2010.11.023zbMath1210.35100OpenAlexW2093540307MaRDI QIDQ631684

T. V. Anoop, Jagmohan Tyagi

Publication date: 14 March 2011

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.2010.11.023

zbMATH Keywords

positive solutionimplicit function theoremelliptic regularitystrong minimum principle

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Cites Work

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• Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
• Positive solutions to semilinear problems with coefficient that changes sign
• On the construction of super and subsolutions for elliptic equations on all of N
• Nonlinear Eigenvalue Problem for p‐Laplacian in IR^N
• Nonnegative Solutions of the Radial Laplacian with Nonlinearity that Changes Sign

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