Existence and multiplicity of solutions for nonlocal -→p (x)-laplacian problem

چکیده مقاله

In this paper, we study the nonlocal anisotropic -→p (x)-Laplacian problem of the following form By means of a direct variational approach and the theory of the anisotropic variable exponent Sobolev space, we obtain the existence and multiplicity of weak energysolutions. Moreover, we get much better results with f in a special form.