Multiplicity of nonnegative solutions for quasilinear Schrodinger equations

作者：Miyagaki Olimpio H^*; Moreira Sandra Im; Pucci Patrizia

来源：Journal of Mathematical Analysis and Applications, 2016, 434(1): 939-955.

DOI：10.1016/j.jmaa.2015.09.022

• Schrodinger operators
• Variational methods
• Supercritical exponents

The paper deals with existence and multiplicity of nonnegative weak solutions for quasilinear Schrodinger equations involving nonlinearities with possibly supercritical growth at infinity and indefinite sign. An appropriate change of variables reduces the quasilinear problem into a semilinear one. Variational and sub- super-methods are applied in order to obtain the main results of the paper.

• 出版日期2016-2-1