THE EXISTENCE OF THE SOLUTION OF ELLIPTIC SYSTEM APPLYING TWO CRITICAL POINT THEOREM

• 발행기관: 충청수학회
• 저자명: Hyewon Nam
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 31, No. 1, 53~64쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2018.02.28

영문 초록

This paper deals with the study of solutions for the elliptic system with jumping nonlineartity and growth nonlinearity and Dirichlet boundary condition. We apply the two critical point theorem when proving the existence of nontrivial solutions for the elliptic system. We define the energy functional associated to the elliptic system and prove that the functional has two critical values.

목차

1. Introduction

2. Preliminaries

3. Main result