The Dirichlet problem in half-space for elliptic equations with unbounded coefficients

zbMath0652.35046MaRDI QIDQ1107025

J. H. Chabrowski

Publication date: 1987

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1987__77__15_0

zbMATH Keywords

regularityDirichlet problemexistenceuniquenessweak solutionstrace of weak solutionssingular coefficientsuniformly ellipticboundary dataweighted \(L^ 2\)-spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Cites Work

• Dirichlet problem for a linear elliptic equation in unbounded domains with \(L^ 2\)-boundary data
• Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure
• On the boundary values of the solutions of elliptic equations
• Linear and quasilinear elliptic equations
• On the boundary values of the solutions of linear elliptic equations
• ON BOUNDARY VALUES IN $ L_p$, $ p > 1$, OF SOLUTIONS OF ELLIPTIC EQUATIONS
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