Asymptotic behavior of positive solutions of inhomogeneous semilinear elliptic equations

DOI10.1016/S0362-546X(01)00903-8zbMath1056.35061MaRDI QIDQ1849042

Soohyun Bae

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

existenceasymptotic behaviorpositive solutionsLaplace operatorpositive radial solutionsinhomogeneous elliptic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

A note on the positive solutions of an inhomogeneous elliptic equation on \(\mathbb R^n\) ⋮ Uniqueness of singular solution of semilinear elliptic equation ⋮ Existence of positive entire solutions of semilinear elliptic equations ⋮ On the positive radial solutions of a class of singular semilinear elliptic equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ EXPONENTIAL DECAY OF THE SOLUTIONS FOR NONLINEAR BIHARMONIC EQUATIONS ⋮ Existence and asymptotic behavior of positive solutions for an inhomogeneous semilinear elliptic equation ⋮ Entire positive solutions for an inhomogeneous semilinear biharmonic equation

Cites Work

• Unnamed Item
• Some limit theorems for super-Brownian motion and semilinear differential equations
• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• Positive global solutions of a nonhomogeneous semilinear elliptic equation
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Asymptotic behavior of positive solutions of equation \(\Delta{} u+K(x)u^ p=0\) in \(\mathbb{R}{}^ n\)
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Existence of multiple positive solutions for a semilinear elliptic equation
• Infinite multiplicity of positive entire solutions for a semilinear elliptic equation
• An inhomogeneous semilinear equation in entire space
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Nonexistence theorems for singular solutions of quasilinear partial differential equations
• On the Cauchy Problem for Reaction-Diffusion Equations
• Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\)