Compact embedding results of Sobolev spaces and existence of positive solutions to quasilinear equations
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Publication:503979
DOI10.1016/j.bulsci.2015.11.005zbMath1364.35098OpenAlexW2176214171MaRDI QIDQ503979
Publication date: 24 January 2017
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2015.11.005
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (9)
Hamiltonian systems of Schrödinger equations with vanishing potentials ⋮ A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ Hardy inequality for domains with a geometric boundary condition and applications ⋮ Embedding theorems for weighted Sobolev spaces in a borderline case and applications ⋮ Existence of positive solutions of Schrödinger equations with vanishing potentials ⋮ Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations ⋮ Compact Sobolev embeddings and positive solutions to a quasilinear equation with mixed nonlinearities ⋮ Ground states of nonlocal fractional Schrödinger equations with potentials well ⋮ Laplace's equation with concave and convex boundary nonlinearities on an exterior region
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