Asymptotics at infinity of solutions for \(p\)-Laplace equations in exterior domains

DOI10.1016/j.na.2007.07.003zbMath1152.35032OpenAlexW2054158739MaRDI QIDQ938724

Friedemann Brock, Andrés I. Ávila

Publication date: 27 August 2008

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.2007.07.003

zbMATH Keywords

asymptoticsnonlinear systemnonlinear elliptic equationentire solution\(p\)-Laplace equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60)

Related Items

Positive solutions to superlinear semipositone problems on the exterior of a ball, A unified approach to symmetry for semilinear equations associated to the Laplacian in \(\mathbb{R}^N\), Analysis of positive solutions for classes of quasilinear singular problems on exterior domains, Liouville results and asymptotics of solutions of a quasilinear elliptic equation with supercritical source gradient term, Singular quasilinear elliptic problems on unbounded domains, A priori estimates for nonlinear differential inequalities and applications, A Liouville theorem for \(p\)-harmonic functions on exterior domains, Principal eigenvalue of \(p\)-Laplacian operator in exterior domain, Singular semilinear elliptic problems with asymptotically linear reaction terms, Strongly singular problems in exterior domains, \(S\) -shaped bifurcation diagrams in exterior domains, Weighted quasilinear eigenvalue problems in exterior domains

Cites Work

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• On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations
• Singular solutions of the \(p\)-Laplace equation
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Regularity for a more general class of quasilinear equations
• On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior
• Symmetric positive entire solutions of second-order quasilinear degenerate elliptic equations
• Existence and nonexistence of positive singular solutions for a class of semilinear elliptic systems
• Nonexistence of positive solutions of quasilinear equations
• Continuous rearrangement and symmetry of solutions of elliptic problems
• A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces
• Symmetry of ground states of quasilinear elliptic equations
• Symmetry of ground states of \(p\)-Laplace equations via the moving plane method
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• Slow decay and the Harnack inequality for positive solutions of \(\Delta u+ u^ p =0\) in \(\mathbb{R}^ n\)
• Symmetry of positive solutions of \(\Delta u + u^ p = 0\) in \(\mathbf R^ n\)
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
• Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
• Symmetry of C¹ Solutions of p-Laplace Equations in ℝ^N
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Symmetry of ground states of semilinear eliptic equations with mixed Sobolev growth
• On harnack type inequalities and their application to quasilinear elliptic equations
• Nonexistence results and estimates for some nonlinear elliptic problems