Research Info

Home /Multiple Solutions for a ...
Title Multiple Solutions for a Class of Bi-nonlocal Problems with Nonlinear Neumann Boundary Conditions
Type JournalPaper
Keywords Bi-nonlocal problems, Nonlinear Neumann boundary conditions, Mountain pass theorem.
Abstract In this paper, we are interested in a class of bi-nonlocal problems with nonlinear Neumann boundary conditions and sublinear terms at infinity. Using (S+) mapping theory and variational methods, we establish the existence of at least two non-trivial weak solutions for the problem provided that the parameters are large enough. Our result complements and improves some previous ones for the superlinear case when the Ambrosetti-Rabinowitz type conditions are imposed on the nonlinearities (441).
Researchers N. T. Chung (Third Researcher), zohreh Naghizadeh (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)