EXISTENCE OF NONTRIVIAL SOLUTIONS IN p-LAPLACE POBLEMS WITH CRITICAL GROWTH
Di Geng · Journal of South China Normal University · 2004
Consider the following p-Laplace problem involving critical growth in a bounded domain of R~N:-·(c(x)|u|~(p-2)u)=a(x)|u|~(q-2)u+b(x)|u|~(α-2)u+f(x,u),where (q=Np/(N-p), Npα1). The existence of a nontrivial solution is shown under some assumptions.