An Elementary Partial Regularity Proof for Vector-Valued Obstacle Problems.
We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
We prove the existence of solutions to systems of degenerate variational inequalities.
We extend a regularity theorem of Hildebrandt and Widman [3] to certain degenerate systems of variational inequalities and prove Hölder-continuity of solutions which are in some sense stationary.
We consider local minimizers of variational integrals like or its degenerate variant with exponents which do not fall completely in the category studied in Bildhauer M., Fuchs M., Calc. Var. (2003), 177–186. We prove interior - respectively -regularity of under the condition that . For decomposable variational integrals of arbitrary order a similar result is established by the way extending the work Bildhauer M., Fuchs M., Ann. Acad. Sci. Fenn. Math. (2006), 349–362.
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