Existence of Multi-Bump Solution type for a class of quasilinear problems
p-Laplacian, Variational Method, Quasilinear Equation.
In this work, our objective is to show the existence of positive solutions of the Multi-Bump type for a class of quasilineares problems in R ^ n. Such problems arise when one wishes to find a standing wave for a type of quasilinear Schrödinger equation that models physical phenomena, for example, in Plam Physics. To do so, we use the variational method. This consists in associating a function, called functional energy, to the studied equation in order to show the existence of non-trivial critical points. To obtain our results, we made use of the Mountain Pass Theorem, Deformation lemma and mini-max type arguments.