A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form

DOI10.1016/j.bulsci.2013.02.002zbMath1286.35092OpenAlexW2017864885MaRDI QIDQ390506

Sara Monsurrò, Maria Transirico

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.02.002

zbMATH Keywords

a priori boundsdiscontinuous coefficientselliptic equationsMorrey spaces

Mathematics Subject Classification ID

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

Related Items

Uniqueness results for higher order elliptic equations in weighted Sobolev spaces ⋮ Noncoercive elliptic equations with discontinuous coefficients in unbounded domains ⋮ A probabilistic proof of a priori \(L^p\) estimates for a class of divergence form elliptic operators ⋮ Uniqueness results for the Dirichlet problem for higher order elliptic equations in polyhedral angles ⋮ Noncoercive nonlinear Dirichlet problems in unbounded domains ⋮ A priori bounds in \(L^p\) and in \(W^{2, p}\) for solutions of elliptic equations ⋮ Addendum to the Chicco theorem

Cites Work

• Dirichlet problem for divergence form elliptic equations with discontinuous coefficients
• An \(L^p\)-estimate for weak solutions of elliptic equations
• Some remarks on spaces of Morrey type
• \(W^{2,2}\) a priori bounds for a class of elliptic operators
• Elliptic equations in weighted Sobolev spaces on unbounded domains
• Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains
• Dirichlet problem for a divergence form elliptic equation with unbounded coefficients in an unbounded domain
• Alcune osservazioni sulla maggiorazione in \(L^ \nu\) delle soluzioni deboli delle equazioni ellittiche del secondo ordine
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• A weighted \(W^{2,p}\)-a priori bound for a class of elliptic operators
• Quasilinear elliptic equations with quadratic growth in unbounded domains
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