Quasilinear elliptic equations with subquadratic growth

DOI10.1016/j.jde.2006.01.016zbMath1293.35122OpenAlexW2080920495MaRDI QIDQ855814

Maria Michaela Porzio, Boccardo, Lucio

Publication date: 7 December 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.01.016

zbMATH Keywords

existence of weak solutionsquasilinear elliptic equationsirregular datasubquadratic growth

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Related Items (4)

Existence results for nonlinear degenerate elliptic equations with lower order terms ⋮ Quasilinear elliptic problem with singular lower order term and \(L^1\) data ⋮ Existence and comparison results for a singular semilinear elliptic equation with a lower order term ⋮ Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms

Cites Work

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• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Nonlinear elliptic and parabolic equations involving measure data
• Existence of renormalized solutions to nonlinear elliptic equations with lower-order terms and right-hand side a measure.
• Criteria of solvability for multidimensional Riccati equations
• Some properties of higher order Sobolev spaces
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Nonlinear elliptic equations with natural growth in general domains
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
• Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
• Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in L¹(Ω)
• Regularity of the solutions to nonlinear elliptic equations with a lower-order term
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

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