Existence and asymptotic behavior of positive solution to a quasilinear elliptic problem in \(\mathbb R^N\)

DOI10.1016/j.na.2007.08.039zbMath1157.35366arXiv1105.2748OpenAlexW1968833113MaRDI QIDQ949686

Dragos-Patru Covei

Publication date: 21 October 2008

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

Full work available at URL: https://arxiv.org/abs/1105.2748

zbMATH Keywords

existencequasilinear elliptic equationpositive solution

Mathematics Subject Classification ID

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

Related Items (8)

Existence and uniqueness of solutions for the Lane, Emden and Fowler type problem ⋮ Asymptotic behavior of ground state radial solutions for \(p\)-Laplacian problems ⋮ Some recent results on singular \(p\)-Laplacian equations ⋮ Existence of positive weak solutions for \((p,q)\)-Laplacian nonlinear systems ⋮ The existence and non-existence of positive solutions to a singular quasilinear elliptic problem in \(\mathbb R^N\) ⋮ Sufficient conditions for the existence and asymptotic behaviour of solution to a quasi-linear elliptic problem ⋮ Existence of solutions for a class of quasilinear elliptic equations in R^Nwith vanishing potentials ⋮ Strongly singular convective elliptic equations in \(\mathbb{R}^N\) driven by a non-homogeneous operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity for a more general class of quasilinear equations
• Existence and uniqueness of positive solutions to a semilinear elliptic problem in \(\mathbb{R}^N\)
• A remark on the existence of entire solutions of a singular semilinear elliptic problem
• Structure of ground state solutions of singular semilinear elliptic equations.
• Entire solution of a singular semilinear elliptic problem
• A strong maximum principle for some quasilinear elliptic equations
• On singular semilinear elliptic equations
• Existence and asymptotic behavior of non-radially symmetric ground states of semilinear singular elliptic equations
• Entire solutions of sublinear elliptic equations in anisotropic media
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• Remarks on sublinear elliptic equations
• Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
• Boundary regularity for solutions of degenerate elliptic equations
• On a dirichlet problem with a singular nonlinearity

This page was built for publication: Existence and asymptotic behavior of positive solution to a quasilinear elliptic problem in \(\mathbb R^N\)