Quasilinear equations with natural growth

DOI10.4171/RMI/548zbMath1151.35343OpenAlexW2026252740MaRDI QIDQ951991

David Arcoya, Pedro J. Martínez-Aparicio

Publication date: 5 November 2008

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1218475355

zbMATH Keywords

quasilinear elliptic equationscritical growthsingular nonlinearity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (16)

Comparison principle for elliptic equations with mixed singular nonlinearities ⋮ Existence of a continuum of solutions for a quasilinear elliptic singular problem ⋮ An elliptic equation with blowing-up coefficient and singular lower order term ⋮ Parabolic equations with nonlinear singularities ⋮ 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 ⋮ Nonlinear elliptic equations with unbounded coefficient and singular lower order term ⋮ Dirichlet problems with singular and gradient quadratic lower order terms ⋮ Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes ⋮ Uniqueness of solutions for some elliptic equations with a quadratic gradient term ⋮ Sign-changing solutions for elliptic problems with singular gradient terms and \(L^{1}(\Omega )\) data ⋮ Singular quasilinear equations with quadratic growth in the gradient without sign condition ⋮ Existence and nonexistence of solutions for singular quadratic quasilinear equations ⋮ Existence and regularity of solutions for unbounded elliptic equations with singular nonlinearities ⋮ A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms

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