A homogeneous Dirichlet problem for a nonlinear partial differential equation in an anisotropic Sobolev space

DOI10.1007/BF01840121zbMath0652.47033WikidataQ115393144 ScholiaQ115393144MaRDI QIDQ1107086

Niels Jacob

Publication date: 1987

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137220

zbMATH Keywords

anisotropic Sobolev spacecoercive pseudo-monotone operatorhomogeneous Dirichlet problem for a quasilinear partial differential operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Cites Work

• On Gårding's inequality
• Supremum norm estimates for partial derivatives of functions of several real variables
• On generalized Drichlet problems.
• Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
• Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains
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