LMAM, School of Mathematical Sciences
Peking University
Beijing 100871, China
email: Wengc@math.pku.edu.cn
Guo Chun Wen
Abstract:
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 Peking University Beijing 100871, China email: Wengc@math.pku.edu.cn |
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