Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary: interaction with a Hardy-Leray potential

DOI10.3934/dcds.2014.34.1747zbMath1280.35045OpenAlexW2328468518MaRDI QIDQ379840

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

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.1747

zbMATH Keywords

critical exponentselliptic equationssingular nonlinearitiesrenormalized solutionsdependence on the gradientHardy-Leray potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Singular elliptic equations (35J75)

Related Items (1)

Fractional KPZ equations with critical growth in the gradient respect to Hardy potential

Cites Work

• Some elliptic problems with singular natural growth lower order terms
• 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
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• Singularités éliminables pour des équations semi-linéaires
• The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities
• Kato's inequality when \(\Delta u\) is a measure
• A note on a critical problem with natural growth in the gradient
• Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential
• Schrödinger operators with singular potentials
• Dirichlet problems with singular and gradient quadratic lower order terms
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
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