Regularity of the extremal solutions associated to elliptic systems

DOI10.1016/j.jde.2014.08.002zbMath1302.35161arXiv1206.2629OpenAlexW2964144782WikidataQ128673305 ScholiaQ128673305MaRDI QIDQ743890

Craig Cowan, Mostafa Fazly

Publication date: 1 October 2014

Published in: Journal of Differential Equations, Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2629

zbMATH Keywords

radial solutionsextremal solutionselliptic systemsconvex domainDirichlet conditionsemilinear systemregularity of solutionsstable solutionssmoothness of solutionsradial domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (8)

Extremal solutions of strongly coupled nonlinear elliptic systems and \(L^\infty\)-boundedness ⋮ Rigidity results for stable solutions of symmetric systems ⋮ Stable solutions of symmetric systems on Riemannian manifolds ⋮ On the regularity and partial regularity of extremal solutions of a Lane–Emden system ⋮ On Lane-Emden systems with singular nonlinearities and applications to MEMS ⋮ Regularity of extremal solutions of nonlocal elliptic systems ⋮ Topics of stable solutions to elliptic equations ⋮ Symmetry Results for Fractional Elliptic Systems and Related Problems

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