CRITICAL POINTS RESULT FOR THE C1,1 FUNCTIONAL AND THE RELATIVE CATEGORY THEORY

• 발행기관: 충청수학회
• 저자명: Tack sun Jung Q Heung Choi
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 21, No. 4, 437~445쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2008.12.30

영문 초록

We show the existence of at least four nontrivial critical points of the C1,1 functional f on the Hilbert space H = X0 X1  X2  X3  X4, Xi, i = 0, 1, 2, 3 are finite dimensional, with f(0) = 0 when two sublevel subsets, torus with three holes and sphere, of f link, the functional f satisfies sup-inf variatinal linking inequality on the linking subspaces, the functional f satisfies (P.S.)c condition, and f|X0X4 has no critical point with level c. We use the deformation lemma, the relative category theory and the critical point theory for the proof of main result.

목차

1. Introduction and statement of main result

2. Critical point theory on the manifold

3. Proof of Theorem 1.1

References