Diane L. Denny
The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation for , which satisfies the condition that at a given point , under the boundary condition for where is the outward unit normal vector and where . The domain is a bounded, connected, open set with a smooth boundary, and N=2 or N=3. The key to the proof lies in obtaining a priori estimates for the solution.
Submitted February 24, 2018. Published September 26, 2019.
Math Subject Classifications: 35A05
Key Words: Existence; uniqueness; quasilinear; elliptic.
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| Diane L. Denny |
Department of Mathematics and Statistics
Texas A&M University - Corpus Christi
Corpus Christi, TX 78412, USA
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