Positive solutions for nonlinear Neumann problems with concave and convex terms

被引:11
作者
Papageorgiou, Nikolaos S. [1 ]
Smyrlis, George [2 ]
机构
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
[2] Technol Educ Inst Athens, Dept Math, Athens 12210, Greece
关键词
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.
引用
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页码:271 / 296
页数:26
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