Abstract:
A generalization of the classical Hölders inequality is given, which is applied to the study the boundary value problems of nonlinear divergence type elliptic equation when the boundary value is not zero. The regularity property of the solution is obtained by using Stampacchia lemma and the technique of Sobolev spaces.
Key words:
generalization of Hö,
lders inequality,
boundary value problem,
regularity.
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