Compact embedding results of Sobolev spaces and positive solutions to an elliptic equation

DOI10.1017/S0308210515000670zbMath1362.46038MaRDI QIDQ5507001

Qi Han

Publication date: 16 December 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacespositive solutionscapacityelliptic equations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Positive solutions to PDEs (35B09)

Related Items (5)

A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations ⋮ Compact embedding results of Sobolev spaces and existence of positive solutions to quasilinear equations ⋮ Compact Sobolev embeddings and positive solutions to a quasilinear equation with mixed nonlinearities ⋮ Laplace's equation with concave and convex boundary nonlinearities on an exterior region

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