Regularity for systems and the angle condition.
Abstract
In this dissertation we consider weak solutions of the System A(u) + B(u) = 0 on a bounded domain W⊂ Rn where B(u) is a perturbation of critical growth, i.e. its growth exponent p equals the integrability exponent of the Sobolev space for which A(u) is a coercive elliptic operator. Under certain structure conditions we get a higher integrability result for 1 < p < n and a regularity result for p > 2.
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- OU - Dissertations [9474]