A necessary and sufficient condition for the existence of large solutions to `mixed' type elliptic systems

DOI10.1016/j.aml.2012.07.002zbMath1258.35085OpenAlexW2025499265MaRDI QIDQ714598

Xin Guang Zhang

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.07.002

zbMATH Keywords

elliptic systementire solutionnecessary and sufficient conditionlarge solution

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (11)

Nonexistence of nonnegative entire solutions of semilinear elliptic systems ⋮ The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach ⋮ Entire blow-up solutions for a quasilinear \(p\)-Laplacian Schrödinger equation with a non-square diffusion term ⋮ Entire blow-up solutions of semilinear elliptic systems with quadratic gradient terms ⋮ A remark on the radial and nonradial solutions for an elliptic system with a quadratic gradient term ⋮ Entire large solutions for a class of Schrödinger systems with a nonlinear random operator ⋮ The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach ⋮ The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach ⋮ Entire Solutions of a Nonlinear Diffusion System ⋮ Existence theorems for a class of systems involving two quasilinear operators ⋮ A necessary and sufficient condition for the existence of large solutions for (\(p_1,\dots,p_d\))-Laplacian Schrödinger systems with a convection term

Cites Work

• Blow-up solutions to a \((p,q)\)-Laplacian system with gradient term
• Entire large solutions to semilinear elliptic systems
• A necessary and sufficient condition for the existence of large solutions to sublinear elliptic systems
• A remark on the existence of entire positive solutions for a class of semilinear elliptic systems
• The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term
• Large and entire large solution for a quasilinear problem
• Entire solutions blowing up at infinity for semilinear elliptic systems.
• Existence of entire large positive solutions of semilinear elliptic systems
• Existence of entire large positive solutions of a semilinear elliptic system
• Large solutions of sublinear elliptic equations
• Radial and Nonradial Solutions for a Semilinear Elliptic System of Schrödinger Type
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