Journal ArticleDOI
Local regularity results for minima of functionals of the calculus of variation
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This article is published in Nonlinear Analysis-theory Methods & Applications.The article was published on 2000-02-01. It has received 26 citations till now. The article focuses on the topics: Time-scale calculus & Maxima and minima.read more
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Elliptic Equations with Degenerate Coercivity: Gradient Regularity
TL;DR: In this article, higher integrability results for the gradient of the solutions of some elliptic equations with degenerate coercivity were proved for minima of functionals closely related to the previous equation.
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Global integrability for minimizers of anisotropic functionals
TL;DR: In this article, the authors consider integral functionals in which the density has growth p ≥ 0 with respect to the boundary datum and show that higher integrability of the boundary dataum forces minimizer to be more integrable.
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Global integrability for weak solutions to some anisotropic elliptic equations
TL;DR: In this paper, the boundary value problem is considered and it is shown that higher integrability of the boundary datum u ∗ forces solutions u to have a higher integration.
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Local regularity for solutions of anisotropic obstacle problems
Hongya Gao,Qiuhua Huang +1 more
TL;DR: In this article, the authors dealt with anisotropic obstacle problems for the A -harmonic equation − div A (x, ∇ u (x ) ) = 0, and a local regularity result was given under suitable assumptions.
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Regularity for minimizers of integrals with nonstandard growth
TL;DR: In this article, a minimizer u : Ω ⊂ R n → R among all functions that agree on the boundary ∂ Ω with some fixed boundary value u ∗ is considered.