Existence of an unbounded branch of the set of solutions for equations of
Department of Mathematics Education, Sangmyung University, Seoul, 110-743, Republic of Korea
Boundary Value Problems 2014, 2014:27 doi:10.1186/1687-2770-2014-27Published: 30 January 2014
We are concerned with the following nonlinear problem
subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the -Laplacian. The purpose of this paper is to study the global behavior of the set of solutions for nonlinear equations of -Laplacian type by applying a bifurcation result for nonlinear operator equations.
MSC: 35B32, 35D30, 35J60, 35P30, 37K50, 46E35, 47J10.