MULTIPLE POSITIVE STANDING WAVE SOLUTIONS FOR SCHRODINGER EQUATIONS WITH OSCILLATING STATE-DEPENDENT POTENTIALS

作者：Bunoiu Renata; Precup Radu^*; Varga Csaba

来源：Communications on Pure and Applied Analysis, 2017, 16(3): 953-972.

DOI：10.3934/cpaa.2017046

• Nonlinear Schrodinger equation
• standing wave
• positive solution
• multiple solutions
• critical point
• three critical points theorem

Motivated by relevant physical applications, we study Schrodinger equations with state-dependent potentials. Existence, localization and multiplicity results are established for positive standing wave solutions in the case of oscillating potentials. To this aim, a localized Pucci-Serrin type critical point theorem is first obtained. Two examples are then given to illustrate the new theory.

• 出版日期2017-5