ALTERNATIVE PROOF OF EXISTENCE THEOREM FOR CERTAIN COMPETITION MODELS

• 발행기관: 충청수학회
• 저자명: In kyung Ahn
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 13, No. 1, 119~130쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2000.06.30

영문 초록

We give alternative proof of the existence theorem for certain elliptic systems describing competing interactions with nonlinear diffusion. The existence of positive solution depends on the sign of the principal eigenvalue of suitable operators of Schrödinger type. If the sign of such operators are both positive, then system has a positive solution. The main tool employed is the xed point index of compact operator on positive cones.

목차

Abstract

1. Introduction

2. Some lemmas and fixed point index

3. Steady-State Positive Solution of Competing Systems

References