Title of article :
S-Shaped Connected Component of Positive Solutions for a Minkowski-Curvature Dirichlet Problem with Indefinite Weight
Author/Authors :
He ، Zhiqian Department of Basic Teaching and Research - Qinghai University , Miao ، Liangying College of Mathematics and Statistics - Qinghai Nationalities University
Abstract :
In this paper, we investigate the existence of an S-shaped connected component in the set of positive solutions for a Minkowski-curvature Dirichlet problem with indefinite weight. By figuring the shape of unbounded continua of solutions, we show the existence and multiplicity of positive solutions with respect to the parameter λ. In particular, we obtain the existence of at least three positive solutions for λ being in a certain interval.
Keywords :
Mean curvature operator , Indefinite weight , Three positive solutions , Bifurcation ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
