Elliptic equations with nonlinear absorption depending on the solution and its gradient

DOI10.1112/plms/pdv020zbMath1326.35124arXiv1409.7191OpenAlexW2220655598MaRDI QIDQ5264359

Phuoc-Tai Nguyen, Morel M. Marcus

Publication date: 27 July 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7191

zbMATH Keywords

uniquenesspositive solutionsblow upisolated boundary singularity

Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Second-order elliptic systems (35J47) Blow-up in context of PDEs (35B44) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (14)

Fractional elliptic problems with nonlinear gradient sources and measures ⋮ Elliptic equations with Hardy potential and gradient-dependent nonlinearity ⋮ Singular solutions of a \(p\)-Laplace equation involving the gradient ⋮ Singular solutions for divergence-form elliptic equations involving regular variation theory: existence and classification ⋮ Liouville results and asymptotics of solutions of a quasilinear elliptic equation with supercritical source gradient term ⋮ Existence and regularity of nonlinear advection problems ⋮ Singular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball ⋮ A nonlinear elliptic problem involving the gradient on a half space ⋮ \(q\)-Laplace equation involving the gradient on general bounded and exterior domains ⋮ Singular solutions of a Lane-Emden system ⋮ Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term ⋮ Semilinear elliptic equations with Hardy potential and gradient nonlinearity ⋮ Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearity ⋮ Some elliptic problems involving the gradient on general bounded and exterior domains

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