Everywhere 𝒞α-estimates for a class of nonlinear elliptic systems with critical growth

M Bulíček, J Frehse, M Steinhauer - Advances in Calculus of …, 2014 - degruyter.com
We obtain everywhere 𝒞α-regularity for vector solutions to a class of nonlinear elliptic
systems whose principal part is the Euler operator to a variational integral∫ F (u,∇ u) dx …

On the H-systems in higher dimension

N Fusco, J Kristensen, C Leone, A Verde - Nonlinear Analysis, 2018 - Elsevier
On the H-systems in higher dimension - ScienceDirect Skip to main contentSkip to article
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On Hölder continuity of solutions for a class of nonlinear elliptic systems with -growth via weighted integral techniques

M Bulíček, J Frehse, M Steinhauer - Annali di Matematica Pura ed …, 2015 - Springer
We consider weak solutions of nonlinear elliptic systems in a W^ 1, p W 1, p-setting which
arise as Euler–Lagrange equations of certain variational integrals with pollution term, and …

[PDF][PDF] Weighted integral techniques and Cαestimates for a class of elliptic systems with p-growth

M Bulıcek, J Frehse, M Steinhauer - … at http://www. karlin. mff. cuni …, 2012 - researchgate.net
We consider weak solutions to nonlinear elliptic systems in a W 1, p-setting which arise as
Euler-Lagrange equations to certain variational integrals plus pollution term and/or we …

H\" older continuity of bounded, weak solutions of a variational system in the critical case

N Shah - arXiv preprint arXiv:1609.04256, 2016 - arxiv.org
Let $\Omega\subset\mathbb {R}^{2} $ be a bounded, Lipschitz domain. We consider
bounded, weak solutions ($ u\in W^{1, 2}\cap L^{\infty}(\Omega;\mathbb {R}^ N) $) of the …