DIRICHLET BOUNDARY VALUE PROBLEM FOR A CLASS OF THE ELLIPTIC SYSTEM

• 발행기관: 충청수학회
• 저자명: Tacksun Jung Q-Heung Choi
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 4, 707~720쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.11.30

영문 초록

We get a theorem which shows the existence of at least three solutions for some elliptic system with Dirichlet boundary condition. We obtain this result by using the nite dimensional reduction method which reduces the innite dimensional problem to the nite dimensional one. We also use the critical point theory on the reduced nite dimensioal subspace.

목차

1. Introduction

2. Reduction approach

3. Proof of Theorem 1.1