Quasilinear elliptic equations involving the N-Laplacian with critical exponential growth in RN

摘要

This paper shows the existence of nontrivial solutions for the quasilinear equations of the form rNu C V.x/jujN2u rn .u2/u D h.u/ in RN ; where rN is the N-Laplacian operator, V is a continuous function bounded from below away from zero and h.u/ is a continuous function having critical exponential growth.