EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A NEUMANN PROBLEM INVOLVING VARIABLE EXPONENT GROWTH CONDITIONS
Maria-Magdalena Boureanu, Mihai Mihăilescu · Glasgow Mathematical Journal · 2008
Abstract In this paper we study a non-linear elliptic equation involvingp(x)-growth conditions and satisfying a Neumann boundary condition on a bounded domain. For that equation we establish the existence of two solutions using as a main tool an abstract linking argument due to Brézis and Nirenberg.