C-condition;
Nonlinear maximum principle;
Local minimizers;
p-Laplacian;
Bifurcation type theorem;
ELLIPTIC-EQUATIONS;
EXISTENCE;
MULTIPLICITY;
D O I:
10.1007/s11117-011-0124-x
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We consider a nonlinear elliptic Neumann problem driven by the p-Laplacian with a reaction that involves the combined effects of a "concave" and of a "convex" terms. The convex term (p-superlinear term) need not satisfy the Ambrosetti-Rabinowitz condition. Employing variational methods based on the critical point theory together with truncation techniques, we prove a bifurcation type theorem for the equation.