Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations

DOI10.1515/anona-2020-0133zbMath1484.46038OpenAlexW3198180168MaRDI QIDQ2232066

Qi Han

Publication date: 4 October 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0133

zbMATH Keywords

positive solutionscompact embeddingfractional LaplacianSobolev-Slobodeckij spaces

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (3)

Korn's inequality in anisotropic Sobolev spaces ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ Existence of variational solutions to nonlocal evolution equations via convex minimization

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