Guo Chun Wen
In this article, we study irregular oblique derivative boundary-value problems for nonlinear elliptic equations of second order in an infinite domain. We first provide the formulation of the above boundary-value problem and obtain a representation theorem. Then we give a priori estimates of solutions by using the reduction to absurdity and the uniqueness of solutions. Finally by the above estimates and the Leray-Schauder theorem, the existence of solutions is proved.
Submitted July 20, 2012. Published August 20, 2012.
Math Subject Classifications: 35J65, 35J25, 35J15.
Key Words: Irregular oblique derivative problem; nonlinear elliptic equations; infinite domains.
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| Guo Chun Wen |
LMAM, School of Mathematical Sciences
Beijing 100871, China
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