Dead cores of singular Dirichlet boundary value problems with ?-Laplacian |
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| Authors: | Ravi P Agarwal Donal O’Regan Svatoslav Staněk |
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| Institution: | (1) Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901-6975, USA;(2) Department of Mathematics, National University of Ireland, Galway, Ireland;(3) Department of Mathematical Analysis, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic |
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| Abstract: | The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular
Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.
This work was supported by grant no. A100190703 of the Grant Agency of the Academy of Sciences of the Czech Republic and by
the Council of Czech Government MSM 6198959214. |
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| Keywords: | singular Dirichlet boundary value problem dead core positive solution dead core solution pseudodead core solution existence ϕ -Laplacian |
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