Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-10-27

Journal: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: SCIE

ISSN: 1072-6691

Key Words: Quasilinear elliptic equations; variational methods; radial solutions

Abstract: In this article we prove the existence of radial solutions with arbitrarily many sign changes for quasilinear Schrodinger equation
   - Sigma(N)(i,j=1) partial derivative(j)(a(ij)(u)partial derivative(i)u) + 1/2 Sigma(N)(i,j=1) a'(ij)(u)partial derivative(i)u partial derivative(j)u+V(x)u = vertical bar u vertical bar(p-1)u, x is an element of R-N,
   where N >= 3, p is an element of(1,3N+2/N-2). The proof is accomplished by using minimization under a constraint.