논문 해외 국제전문학술지(SCI급) STANDING WAVES OF NONLINEAR SCHRODINGER EQUATIONS WITH OPTIMAL CONDITIONS FOR POTENTIAL AND NONLINEARITY
- 학술지 구분 국제전문학술지(SCI급)
- 게재년월 2013-03
- 저자명 배수현
- 학술지명 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
- 발행처명 AMER INST MATHEMATICAL SCIENCES
- 발행국가 해외
- 논문언어 외국어
- 전체저자수 2
홈페이지논문 초록 (Abstract)
We consider the singularly perturbed nonlinear elliptic problem epsilon(2)Delta v - V(x)v + f(v) = 0, v > 0, lim(verticalbar x vertical bar ->infinity) v(x) = 0. Under almost optimal conditi ons for the potential V and the nonlinearity f, we establish the existe nce of single-peak solutions whose peak points converge to local minim um points of V as epsilon ->0. Moreover, we exhibit a threshold o n the condition of V at infinity between existence and nonexistence o f solutions.