논문 해외 국제전문학술지(SCI급) A NON-LINEAR PROBLEM INVOLVING A CRITICAL SOBOLEV EXPONENT
- 학술지 구분 국제전문학술지(SCI급)
- 게재년월 2012-12
- 저자명 배수현
- 학술지명 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- 발행처명 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행국가 해외
- 논문언어 외국어
- 전체저자수 4
홈페이지논문 초록 (Abstract)
e study a non-linear minimization problem on H-0(1)(Omega) subset of L-q with q = 2n/n-2: inf(parallel to u parallel to Lq=1) . integral Omega(1 + vertical bar x vertical bar(beta)vertical bar u vertical bar(k))vertical bar del u vertical bar(2). We show that minimizers exist only for the range beta < kn/q whi ch corresponds to a dominant non-linear term. However, for beta >= kn /q the influence of linearity prevents their existence. (C) 2012 Elsev ier Inc. All rights reserved.