A priori estimates for elliptic problems with a strongly singular gradient term and a general datum.

zbMath1299.35139MaRDI QIDQ2249873

Daniela Giachetti, Francesco Petitta, Sergio Segura de León

Publication date: 3 July 2014

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

a priori estimatesingular elliptic problemconvergence of approximate solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular elliptic equations (35J75)

Related Items (27)

1-Laplacian type problems with strongly singular nonlinearities and gradient terms ⋮ A note on symmetry of solutions for a class of singular semilinear elliptic problems ⋮ Quasilinear elliptic problems with singular and homogeneous lower order terms ⋮ Comparison principle for elliptic equations with mixed singular nonlinearities ⋮ An elliptic equation with blowing-up coefficient and singular lower order term ⋮ Existence and uniqueness of solutions to some singular equations with natural growth ⋮ A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems ⋮ Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness ⋮ Singular solutions of a \(p\)-Laplace equation involving the gradient ⋮ Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ 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 ⋮ Existence of renormalized solutions to a nonlinear parabolic boundary value problem with a singular lower order term and a nonhomogeneous datum ⋮ Existence and regularity results for some elliptic equations with degenerate coercivity and singular quadratic lower-order terms ⋮ Existence of solutions for degenerate parabolic equations with singular terms ⋮ Nonlinear elliptic equations with unbounded coefficient and singular lower order term ⋮ \(q\)-Laplace equation involving the gradient on general bounded and exterior domains ⋮ Singular anisotropic elliptic equations with gradient-dependent lower order terms ⋮ Singular parabolic problems with possibly changing sign data ⋮ Singular solutions of a Lane-Emden system ⋮ Sign-changing solutions for elliptic problems with singular gradient terms and \(L^{1}(\Omega )\) data ⋮ On singular elliptic equations with measure sources ⋮ On some parabolic equations involving superlinear singular gradient terms ⋮ Some elliptic problems involving the gradient on general bounded and exterior domains ⋮ Singular quasilinear elliptic problems with changing sign datum: existence and homogenization ⋮ Two classes of nonlinear singular Dirichlet problems with natural growth: existence and asymptotic behavior

This page was built for publication: A priori estimates for elliptic problems with a strongly singular gradient term and a general datum.