Mixed boundary value problems for quasilinear elliptic equations

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2013-01-01
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Tang, Chunquan
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Gary M. Lieberman
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Altmetrics
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Mathematics
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We study the a priori estimates and existence for solutions of mixed boundary value problems for quasilinear elliptic equations. We prove maximum estimates, gradient estimates and H"older gradient estimates and use them to prove the existence theorem in $C^{1,alpha'}(bar{Omega})$ through some functional analytical tool. The barrier method is used and the angle conditions are derived.

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Tue Jan 01 00:00:00 UTC 2013