Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary

DOI10.1016/j.na.2010.10.008zbMath1208.35059OpenAlexW1984946914MaRDI QIDQ622407

Boumediene Abdellaoui, Daniela Giachetti, Magdalena Walias, Ireneo Peral Alonso

Publication date: 31 January 2011

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.2010.10.008

zbMATH Keywords

elliptic equationssingular nonlinearitiesdependence on the gradient

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Related Items (12)

Quasilinear elliptic problems with singular and homogeneous lower order terms ⋮ Some qualitative questions on the equation \(-\operatorname{div}(a(x,u,u))=f(x,u)\) ⋮ Nonlinear elliptic equations and intrinsic potentials of Wolff type ⋮ Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary: interaction with a Hardy-Leray potential ⋮ Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary ⋮ Singular anisotropic elliptic equations with gradient-dependent lower order terms ⋮ Nonexistence of solutions for singular elliptic equations with a quadratic gradient term ⋮ Quasilinear elliptic problem with singular lower order term and \(L^1\) data ⋮ Singular parabolic problems with possibly changing sign data ⋮ Nonlinear elliptic equations with Hardy potential and lower order term with natural growth ⋮ Some existence and regularity results for porous media and fast diffusion equations with a gradient term ⋮ A quasilinear singular elliptic problem related to the Kardar–Parisi–Zhang equation

Cites Work

• Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary
• Some remarks on elliptic problems with critical growth in the gradient
• Singularités éliminables pour des équations semi-linéaires
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• Existence and nonexistence of solutions for some nonlinear elliptic equations
• Criteria of solvability for multidimensional Riccati equations
• Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential
• Multiplicity Result for Quasilinear Elliptic Problems with General Growth in the Gradient
• Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
• Entropy solutions for nonlinear elliptic equations in L1
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
• Some qualitative properties of solutions of quasilinear elliptic equations and applications
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