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Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
University of Florence.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2011 (English)In: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 36, no 1, 100-133 p.Article in journal (Refereed) Published
Abstract [en]

The Lipschitz continuity of solutions to Dirichlet and Neumann problems for nonlinear elliptic equations, including the p-Laplace equation, is established under minimal integrability assumptions on the data and on the curvature of the boundary of the domain. The case of arbitrary bounded convex domains is also included. The results have new consequences even for the Laplacian.

Place, publisher, year, edition, pages
Taylor and Francis , 2011. Vol. 36, no 1, 100-133 p.
Keyword [en]
Boundedness of the gradient; Convex domains; Dirichlet problems; Isoperimetric inequalities; Lipschitz continuity of solutions; Lorentz spaces; Neumann problems; Nonlinear elliptic equations
National Category
Social Sciences
URN: urn:nbn:se:liu:diva-63951DOI: 10.1080/03605301003657843ISI: 000284474100005OAI: diva2:384768
Available from: 2011-01-10 Created: 2011-01-10 Last updated: 2011-01-10

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Mazya, Vladimir G.
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Applied MathematicsThe Institute of Technology
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