Large solutions of semilinear elliptic equations with a gradient term: existence and boundary behavior

DOI10.3934/CPAA.2013.12.1381zbMath1268.35041OpenAlexW2314191917MaRDI QIDQ1948394

Zhijun Zhang

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1381

zbMATH Keywords

existenceuniquenesssemilinear elliptic equationsboundary blow-upboundary behavior of solutionsa gradient term

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Semilinear elliptic equations (35J61)

Related Items (6)

Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms ⋮ Existence and blow-up rate of large solutions of \(p(x)\)-Laplacian equations with gradient terms ⋮ Second order estimates for boundary blow-up solutions of elliptic equations with an additive gradient term ⋮ Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms ⋮ Estimates for large solutions of a quasilinear elliptic equation ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term

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