SILVANA MARCHI

Existence of nontrivial solutions to a nonlinear Dirichlet problem for the Q-Laplacian relative to Hormander vector fields

Pages: 87-100
Received: 15 March 2000   
Mathematics Subject Classification (2000): 35D05 - 35J20 - 35J60 - 35J65 - 35J70

Abstract: In this paper we study the existence of solutions for the problem D_Qu =f(x,u), u Î W_o^1,Q (W ,X) , where D_Q is the Q-Laplacian in the Hörmander vector field setting , Q is the homogeneous dimension associated to W and the nonlinearity f has a subcritical growth on W.