Hardy-Sobolev inequalities and boundary growth of Sobolev functions for double phase functionals on the half space

DOI10.1007/S11587-022-00686-5MaRDI QIDQ6601216

Yoshihiro Mizuta, Tetsu Shimomura

Publication date: 10 September 2024

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

Sobolev functionsHardy-Sobolev inequalitydouble phase functionals

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (47G10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Growth properties of Musielak-Orlicz integral means for Riesz potentials
• Bounded minimisers of double phase variational integrals
• The maximal operator on generalized Orlicz spaces
• \(L^ q\)-mean limits for Taylor's expansion of Riesz potentials of functions in Orlicz classes
• Hölder regularity for nonlocal double phase equations
• Regularity for general functionals with double phase
• Global gradient estimates for a borderline case of double phase problems with measure data
• Hardy-Sobolev inequalities in the unit ball for double phase functionals
• Maximal regularity for local minimizers of non-autonomous functionals
• Hardy-Sobolev inequalities in the half-space for double phase functionals
• Campanato-Morrey spaces for the double phase functionals
• Regularity for double phase variational problems
• Regularity for minimizers for functionals of double phase with variable exponents
• Sobolev's inequality for double phase functionals with variable exponents
• Non-autonomous functionals, borderline cases and related function classes
• Weighted Inequalities of Hardy Type
• Boundary growth of Sobolev functions of monotone type for double phase functionals
• Sobolev's theorem for double phase functionals
• Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth
• A note on the best constants in some Hardy inequalities
• Sobolev Spaces

Related Items (1)

Boundedness of Hardy operators in the unit ball of double phase

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