Positive Solutions for Elliptic Equations With Supercritical Nonlinearity

DOI10.1515/ANS-2009-0306zbMath1181.35094OpenAlexW2516924577MaRDI QIDQ3397559

Paulo Rabelo

Publication date: 22 September 2009

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2009-0306

zbMATH Keywords

variational methodsSchrödinger equationsemilinear elliptic equationsupercritical Sobolev exponentMoser iteration method

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
• Existence of solitary waves in higher dimensions
• On a class of semilinear elliptic problems in ℝN with critical growth

This page was built for publication: Positive Solutions for Elliptic Equations With Supercritical Nonlinearity