Existence of Solutions for a Semilinear Elliptic Equation in ℝ N with Sign-changing Weight
Jianfu Yang, Xiaohui Yu · Advanced Nonlinear Studies · 2008
Abstract We study the existence of solutions for the semilinear elliptic equation where 1 < p < , Q(x) is a sign-changing function such that both the supports of Q + and Q - may have infinite measure. We show that the problem has at least one solution.