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Dead cores of singular Dirichlet boundary value problems with ϕ-Laplacian

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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.

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Correspondence to Ravi P. Agarwal.

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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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Agarwal, R.P., O’Regan, D. & Staněk, S. Dead cores of singular Dirichlet boundary value problems with ϕ-Laplacian. Appl Math 53, 381–399 (2008). https://doi.org/10.1007/s10492-008-0031-z

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  • DOI: https://doi.org/10.1007/s10492-008-0031-z

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