Hölder continuity up to the boundary of minimizers for some integral functionals with degenerate integrands

DOI10.1155/2007/31819zbMath1255.49063OpenAlexW2030367044MaRDI QIDQ2478422

S. D'Asero, Valentina Cataldo, Salvatore Bonafede

Publication date: 28 March 2008

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2007/31819

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) Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10)

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Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials, Improved integrability and boundedness of solutions to some high-order variational problems, Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms

Cites Work

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• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• On the regularity of the minima of variational integrals
• Hölder continuity of minimizers of functionals with non standard growth conditions
• Nirenberg-Gagliardo interpolation inequality and regularity of solutions of nonlinear higher order equations
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• Local regularity results for minima of functionals of the calculus of variation
• Linear and quasilinear elliptic equations
• Partial regularity of multiple variational integrals of any order
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
• Hölder continuity of solutions for a class of nonlinear elliptic variational inequalities of high order
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