Multiplicity of solutions for a class of semilinear Schrodinger equations with sign-changing potential

作者：Zhang, Qingye^*; Xu, Bin

来源：Journal of Mathematical Analysis and Applications, 2011, 377(2): 834-840.

DOI：10.1016/j.jmaa.2010.11.059

• Schrodinger equation
• Superquadratic
• Sign-changing potential

In this paper, we study the existence of infinitely many nontrivial solutions for a class of semilinear Schrodinger equations -Delta u + V(x)u = f (x, u), x epsilon R-N, where the primitive of the nonlinearity f is of superquadratic growth near infinity in u and the potential V is allowed to be sign-changing.

• 出版日期2011-5-15
• 单位江苏师范大学; 江西师范大学