On equivalent conditions for the validity of Poincaré inequality on weighted Sobolev space with applications to the solvability of degenerated PDEs involving \(p\)-Laplacian

DOI10.1016/j.jmaa.2015.06.068zbMath1329.35020OpenAlexW821543499WikidataQ115181003 ScholiaQ115181003MaRDI QIDQ495196

Agnieszka Kałamajska, Raj Narayan Dhara

Publication date: 9 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.068

zbMATH Keywords

isoperimetric inequalitiesBaire cathegory method

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Existence of solutions to a nonlinear parabolic problem with two weights ⋮ Improved weighted Poincaré inequalities in John domains and application to the divergence equation ⋮ On solvability of nonlinear eigenvalue problems for degenerate PDEs of elliptic type ⋮ Liouville theorems for elliptic problems in variable exponent spaces ⋮ On proper formulation of boundary condition for degenerated PDEs when trace embedding theorems are missing and application to nonhomogeneous BVPs ⋮ Caccioppoli-type estimates and Hardy-type inequalities derived from weighted \(p\)-harmonic problems

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