논문 해외 국제전문학술지(SCI급) Existence of nodal solutions of nonlinear elliptic equations
- 학술지 구분 국제전문학술지(SCI급)
- 게재년월 2007-12
- 저자명 배수현
- 학술지명 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
- 발행처명 ROYAL SOC EDINBURGH
- 발행국가 해외
- 논문언어 외국어
- 전체저자수 3
홈페이지논문 초록 (Abstract)
We establish that, for n >= 3, the elliptic equation -Delta u = lambda v ertical bar x vertical bar(mu)vertical bar u vertical bar(q-2)u + vertic al bar x vertical bar(v)vertical bar u vertical bar(p-2)u on a ball with zero Dirichlet data possesses a pair of nodal radial solutions for all lambda > 0 provided that [GRAPHICs] When q = 2 and n > 2 mu + 6, the sa me result holds for lambda> 0 small. Canonical transformations convert the equation into a quasi-linear elliptic equation and an equation with Hardy term. Then the results correspond to the results for the transfor med equations. For example, the equation [GRAPHICS] on a ball with zero Dirichlet data, possesses a pair of nodal radial solutions for all (lam bda) over tilde > 0 provided that a, v > -2 and [GRAPHICS] When q=2, n > 2a + 6 and 0 < chi < (chi) over bar - (a + 2)(2), the same result holds for (lambda) over bar> 0 small.