Existence Results For The P-Laplacian With Nonlinear Boundary Conditions

JULIAN FERNANDEZ BONDER; ROSSI, JULIO DANIEL

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ACADEMIC PRESS INC ELSEVIER SCIENCE

Año: 2001 vol. 263 p. 195 - 223

0022-247X

In this paper we study the existence of nontrivial solutions for the problem pu
u
p2u in a bounded smooth domain 
N, with a nonlinear boundary condition given by
u
p2 u
 f Žu. on the boundary of the domain. The proofs are based on variational and topological arguments.