Abstract
We investigate a bifurcation problem for one-dimensional $p$-Laplace equation with a singular weight under Dirichlet boundary condition. Using super-subsolution method and mountain pass lemma, we prove the existence of at least two positive solutions, at least one positive solution and no positive solution according to the range of a bifurcation parameter.
Citation
Ryuji Kajikiya. Yong-Hoon Lee. Inbo Sim. "Two positive solutions for one-dimensional $p$-Laplacian with a singular weight." Topol. Methods Nonlinear Anal. 42 (2) 427 - 448, 2013.
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