A singular elliptic equation with natural growth in the gradient and a variable exponent

DOI10.1007/s00030-015-0351-0zbMath1328.35050OpenAlexW1928403820MaRDI QIDQ889864

Julio D. Rossi, Pedro J. Martínez-Aparicio, José Carmona

Publication date: 9 November 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-015-0351-0

zbMATH Keywords

positive solutionsnonlinear elliptic equationsvariable exponentsingular natural growth gradient terms

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (4)

Existence of solutions to a class of semilinear elliptic problem with nonlinear singular terms and variable exponent ⋮ Existence and regularity of solutions to a quasilinear elliptic problem involving variable sources ⋮ Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ On \(p(\cdot)\)-Laplacian problem with singular nonlinearity having variable exponent

Cites Work

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