TITLE:
Multiple Solutions for a Class of Semilinear Elliptic Equations with Nonlinear Boundary Conditions
AUTHORS:
Ziyan Yao
KEYWORDS:
Multiple Solutions; Nonlinear Boundary Conditions; Local Linking Theorem
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.1,
January
7,
2014
ABSTRACT:
In this paper, using Local
Linking Theorem, we obtain the existence of multiple solutions for a class of
semilinear elliptic
equations with nonlinear boundary conditions, in which the nonlinearites are compared with higher Neumann eigenvalue
and the first Steklov eigenvalue.