MULTIPLICITY OF SOLUTIONS OF SOME QUASILINEAR EQUATIONS IN R-N WITH VARIABLE EXPONENTS AND CONCAVE-CONVEX NONLINEARITIES

作者：Alves Claudianor O^*; Barreiro Jose L P; Goncalves Jose V A

来源：Topological Methods in Nonlinear Analysis, 2016, 47(2): 529-559.

DOI：10.12775/TMNA.2016.015

• Variational methods
• quasilinear problems
• weak solutions

We prove multiplicity of solutions for a class of quasilinear problems in R-N involving variable exponents and nonlinearities of concave convex type. The main tools used are variational methods, more precisely, Ekeland's variational principle and Nehari manifolds.

• 出版日期2016-6