Nonexistence of solutions for singular elliptic equations with a quadratic gradient term

DOI10.1016/j.na.2012.06.001zbMath1248.35087OpenAlexW2076693185MaRDI QIDQ441182

Xiaodan Wei, Xulong Qin, Wen-Shu Zhou

Publication date: 20 August 2012

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.2012.06.001

zbMATH Keywords

nonexistence of solutionsfinite energy solutionsingular elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Singular elliptic equations (35J75)

Related Items (7)

Existence of a continuum of solutions for a quasilinear elliptic singular problem ⋮ Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth ⋮ A singular elliptic equation with natural growth in the gradient and a variable exponent ⋮ Positive solutions of Dirichlet and homoclinic type for a class of singular equations ⋮ Positive solution for a quasilinear equation with critical growth in $\mathbb {R}^N$ ⋮ Two classes of nonlinear singular Dirichlet problems with natural growth: existence and asymptotic behavior

Cites Work

• Unnamed Item
• Unnamed Item
• An elliptic problem with degenerate coercivity and a singular quadratic gradient lower order term
• Some elliptic problems with singular natural growth lower order terms
• Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary
• Positive solutions for a class of \(p\)-Laplace problems involving quasi-linear and semi-linear terms
• Existence and multiplicity of weak solutions for a singular semilinear elliptic equation
• Existence and nonexistence of solutions for singular quadratic quasilinear equations
• On the existence and regularity of solutions of a quasilinear mixed equation of Leray-Lions type
• Existence of bounded solutions for non linear elliptic unilateral problems
• Non-uniformly elliptic equations with natural growth in the gradient
• Problems for elliptic singular equations with a quadratic gradient term
• Nonlinear elliptic equations having a gradient term with natural growth
• Dirichlet problems with singular and gradient quadratic lower order terms
• A singular nonlinear elliptic equation with natural growth in the gradient
• Uniqueness of solutions for some elliptic equations with a quadratic gradient term
• Existence and comparison results for quasilinear elliptic equations with critical growth in the gradient

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