On proper formulation of boundary condition for degenerated PDEs when trace embedding theorems are missing and application to nonhomogeneous BVPs

DOI10.1080/17476933.2016.1174217zbMath1360.46028OpenAlexW2346325284WikidataQ115181002 ScholiaQ115181002MaRDI QIDQ2816598

Agnieszka Kałamajska, Raj Narayan Dhara

Publication date: 25 August 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1174217

zbMATH Keywords

weighted Sobolev spacetrace theoremdegenerate elliptic equationextension operatornonhomogeneous boundary value problemweighted Slobodetskii space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

On solvability of nonlinear eigenvalue problems for degenerate PDEs of elliptic type

Cites Work

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• The local regularity of solutions of degenerate elliptic equations
• On trace spaces of function spaces with a radial weight: the atomic approach
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