Discontinuous superlinear elliptic equations of divergence form

DOI10.1007/S00030-009-0036-7zbMath1185.35310OpenAlexW2170804145MaRDI QIDQ1049604

Dian K. Palagachev

Publication date: 13 January 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0036-7

zbMATH Keywords

regularitya priori estimatesweak solvabilitydivergence form quasilinear elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Semilinear elliptic equations (35J61)

Related Items (4)

Global Hölder continuity of solutions to quasilinear equations with Morrey data ⋮ Morrey regularity of solutions to quasilinear elliptic equations over Reifenberg flat domains ⋮ Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations ⋮ Global Morrey regularity for asymptotically regular elliptic equations

Cites Work

• Elliptic partial differential equations of second order
• Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients
• Regularity for quasi-linear elliptic systems with discontinuous coefficients
• Linear growth coefficients in quasilinear equations
• $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
• Elliptic equations with BMO coefficients in Lipschitz domains
• Quasilinear Elliptic Equations with VMO Coefficients
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