Two positive solutions for one-dimensional $p$-Laplacian with a singular weight
Słowa kluczowe
p-Laplace equation, singular weight, bifurcation, positive solutions, super-subsolution, mountain pass lemmaAbstrakt
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.Pobrania
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2013-04-22
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KAJIKIYA, Ryuji, LEE, Yong-Hoon & SIM, Inbo. Two positive solutions for one-dimensional $p$-Laplacian with a singular weight. Topological Methods in Nonlinear Analysis [online]. 22 kwiecień 2013, T. 42, nr 2, s. 427–448. [udostępniono 19.7.2024].
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