Variational methods for Nonlinear fractional systems - Softcover

Boutebba, Hamza

 
9786209033216: Variational methods for Nonlinear fractional systems

Synopsis

The main objective of this work is to study the concept of existence and multiplicity of nontrivial solutions for several classes of fractional nonlinear Schrӧdinger-Poisson systems and fractional nonlinear Kirchhoff-Schrӧdinger-Poisson systems, driven by two types of fractional operators in suitable fractional frameworks. More precisely, we analyze different classes of these fractional nonlinear systems under different types of assumptions imposed on the potential functions and nonlinearities. To establish these results, we mainly use variational methods based on the mountain pass theorem, Ekeland variational principles, the fountain theorem and the dual fountain theorem.

"synopsis" may belong to another edition of this title.