Multiplicity of positive and nodal solutions for nonlinear elliptic problems in RN

DOI10.1017/S0308210500030079zbMath0916.35035OpenAlexW2056044170MaRDI QIDQ4223671

Zi-Qing Xie

Publication date: 19 July 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500030079

zbMATH Keywords

positive solutionsnodal solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (1)

Positive solutions with single and multi-peak for semilinear elliptic equations with nonlinear boundary condition in the half-space

Cites Work

• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
• Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains
• Remarks on a semilinear elliptic equation on \({\mathbb{R}}^ n\)
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• On the variational principle
• Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solution and bifurcation from the essential spectrum of a semilinear elliptic equation on Rn
• Multiple entire solutions of a semilinear elliptic equation
• Existence and multiplicity of positive solutions for nonlinear elliptic problems in exterior domains with “rich” topology

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