Positive solutions of semilinear elliptic problems in unbounded domains

DOI10.1016/0022-0396(85)90061-0zbMath0583.35039OpenAlexW2011051924MaRDI QIDQ1070106

Ezzat S. Noussair, Charles A. Swanson

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90061-0

zbMATH Keywords

positive solutionsasymptotic behaviourdivergence formsecond order uniformly elliptic differential operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Positive \(L^ p\)-solution of subcritical nonlinear problems ⋮ Superlinear elliptic Dirichlet problems in almost spherically symmetric exterior domains ⋮ Homoclinic-type solutions for an almost periodic semilinear elliptic equation on \(\mathbb{R}^ n\) ⋮ Existence of ground states with exponential decay for semi-linear elliptic equations in \({\mathbb{R}}^ n\) ⋮ Positive \(L^ p(R^ N)\)-solutions of subcritical Emden-Fowler problems ⋮ On compact embeddings of radial sobolev spaces and their applications ⋮ Unbounded positive entire solutions of semilinear elliptic equations ⋮ Existence and nonexistence of positive radial solutions of an elliptic Dirichlet problem in an exterior domain ⋮ The asymptotic and bifurcation results for potential systems involving sobolev critical exponent ⋮ An \(L^ q({\mathbb{R}}^ N)\)-theory of subcritical semilinear elliptic problems ⋮ The Dirichlet problem for quasilinear elliptic differential equations in unbounded domains ⋮ Properties of potential systems in \(\mathbb{R}{}^ N\) ⋮ Existence of Decaying Entire Solutions of a Class of Semilinear Elliptic Equations ⋮ Positive entire solutions of semilinear elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On bounded entire solutions of semilinear elliptic equations
• Global positive solutions of semilinear elliptic problems
• Theory of Bessel potentials. I
• Une méthode locale pour l'existence de solutions positives de problèmes semi-linéaires elliptiques dans \(R^ n\).
• Symmetry and related properties via the maximum principle
• On the existence of solutions of nonlinear elliptic boundary value problems
• On semilinear elliptic boundary value problems in unbounded domains
• On positive solutions of -Delta(u)=F(x,u)
• Existence of solitary waves in higher dimensions
• Dual variational methods in critical point theory and applications
• Linear and quasilinear elliptic equations
• On the existence and structure of stationary states for a nonlinear Klein-Gordon equation
• Global Positive Solutions of Semilinear Elliptic Equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• Embedding Theorems and Quasi-Linear Elliptic Boundary Value Problems for Unbounded Domains

This page was built for publication: Positive solutions of semilinear elliptic problems in unbounded domains