The Dirichlet Problem for Second Order Elliptic Operators on Unbounded Domains

DOI10.1080/00036818508839545zbMath0563.35025OpenAlexW1984184005WikidataQ58253382 ScholiaQ58253382MaRDI QIDQ3676526

Rainer Janßen

Publication date: 1985

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818508839545

zbMATH Keywords

existenceweak solutionsweighted Sobolev-spacesDirichlet-problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Coercive properties of elliptic-parabolic operators ⋮ A class of strongly degenerate elliptic operators ⋮ Nondegeneracy of solutions for a class of cooperative systems on \(\mathbb{R}^n\)

Cites Work

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• Elliptische Differentialgleichungen mit variablen Koeffizienten in Gebieten mit unbeschränktem Rand
• Lösungen der poissongleichung und harmonische vektorfelder in unbeschränkten gebieten
• Boundary value problems for the laplacian in an exterior domain
• Elliptic operators and the decomposition of tensor fields
• Some Variants of the Poincaré-Lemma

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