期刊
ADVANCES IN CALCULUS OF VARIATIONS
卷 12, 期 1, 页码 31-56出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/acv-2016-0039
关键词
Nonlinear regularity; nonlinear maximum principle; strong comparison principle; bifurcation-type results; positive solutions
资金
- National Science Center of Poland [2015/19/B/ST1/01169, 2012/06/A/ST1/00262]
We consider a parametric nonlinear elliptic equation driven by the Robin p-Laplacian. The reaction term is a Caratheodory function which exhibits competing nonlinearities (concave and convex terms). We prove two bifurcation-type results describing the set of positive solutions as the parameter varies. In the process we also prove two strong comparison principles for Robin equations. These results are proved for differential operators which are more general than the p-Laplacian and need not be homogeneous.
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