Múltiplas soluções em certas classes de problemas elípticos não homogêneos e não locais

Abstract

This work concerns multiplicity of solutions to some nonhomogeneous and nonlocal elliptic problems. The nonlocal term on the operator is of Kirchhoff type and it may be degenerated or not, continuous or discontinouos at the origin. The operator herein includes several examples appearing in the applications like p-laplace, (p,q)-Laplace, generalized p-mean curvature among others. The source terms include concave-convex terms, sublinear or superlinear term which can be local or nonlocal, pertubation of those, and functions satisfying a nonquadraticity condition at infinity. The results proved in this work assure the existence of infinitely many negative energy solutions, infinitely many positive energy solutions whose energy divergs to +\infty and, in some cases, multiplicity of positive solutions.