On some quasilinear problem of nonvariational structure and involving exponential critical growth conditions
Sami Aouaoui · Applicable Analysis · 2014
In this paper, we establish the existence of at least one nontrivial solution for a nonhomogeneous problem having a nonvariational structure. The nonlinearity term enjoys a critical exponential growth. Our main tools are Galerkin approximative method and the degree theory of some special type of mappings.