Applications of local linking to nonlocal Neumann problems

作者：Bisci Giovanni Molica^*; Radulescu Vicentiu D

来源：Communications in Contemporary Mathematics, 2015, 17(1): 1450001.

DOI：10.1142/S0219199714500011

• Variational methods
• linking
• weak solutions
• nonlocal equations

We study a nonlocal Neumann problem driven by a nonhomogeneous elliptic differential operator. The reaction term is a nonlinearity function that exhibits p-superlinear growth but need not satisfy the Ambrosetti-Rabinowitz condition. By using an abstract linking theorem for smooth functionals, we prove a multiplicity result on the existence of weak solutions for such problems. An explicit example illustrates the main abstract result of this paper.

• 出版日期2015-2