Boundedness of the weak solutions to quasilinear elliptic equations with Morrey data

DOI10.1512/iumj.2013.62.5115zbMath1300.35045OpenAlexW1986863782MaRDI QIDQ5419200

Dian K. Palagachev, Sun-Sig Byun

Publication date: 6 June 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2013/5115

zbMATH Keywords

quasilinear elliptic equationdiscontinuous coefficientsHölder continuityMorrey spaceCarathéodory functionsessentially boundedness of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Related Items (6)

Global Hölder continuity of solutions to quasilinear equations with Morrey data ⋮ Boundedness of solutions to quasilinear parabolic equations ⋮ Boundedness of the solutions to non-linear systems with Morrey data ⋮ Boundedness of solutions to a class of coercive systems with Morrey data ⋮ Global continuity of solutions to quasilinear equations with Morrey data ⋮ Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains

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