Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms
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Publication:2583805
DOI10.1016/j.crma.2005.09.027zbMath1149.35352OpenAlexW1982638061MaRDI QIDQ2583805
François Murat, Nathalie Grenon, Alessio Porretta
Publication date: 18 January 2006
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2005.09.027
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasilinear elliptic equations with subquadratic growth
- Criteria of solvability for multidimensional Riccati equations
- Nonlinear elliptic equations with natural growth in general domains
- 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
- A priori estimates and existence for elliptic equations with gradient dependent terms
- Comparison and Existence Results for Classes of Nonlinear Elliptic Equations with General Growth in the Gradient
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