Existence results for nonlinear elliptic problems

被引:6
作者
Bonanno, Gabriele [1 ]
Pizzimenti, Pasquale F. [2 ]
机构
[1] Univ Messina, Dept Sci Engn & Architecture, Math Sect, Fac Engn, I-98166 Messina, Italy
[2] Univ Messina, Dept Math, I-98166 Messina, Italy
关键词
Dirichlet problem; positive solutions; critical points; 35J20; 35J60; 35J91; P-LAPLACIAN; PRINCIPLE; EQUATIONS;
D O I
10.1080/00036811.2011.625013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of non-trivial solutions for nonlinear Dirichlet problems involving the p-Laplacian is investigated. In particular, an existence result of at least one non-trivial solution, without requiring any asymptotic condition on the nonlinear term either at zero or at infinity, is presented. As a consequence, also a multiplicity result is pointed out. The approach is based on a local minimum theorem for differentiable functionals.
引用
收藏
页码:411 / 423
页数:13
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