Existence and multiplicity of solutions for nonlocal
-Laplacian problems in
School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P.R. China
Boundary Value Problems 2012, 2012:79 doi:10.1186/1687-2770-2012-79Published: 26 July 2012
By using the method of weight function and the theory of the variable exponent Sobolev space, under appropriate assumptions on f and M, we obtain some results on the existence and multiplicity of solutions of this problem. Moreover, we get much better results with f in a special form.
MSC: 35B38, 35D05, 35J20.