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Indexed by:期刊论文

Date of Publication:2014-10-27

Journal:ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:SCIE

ISSN No.: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.