Geodesic
Dead cores of singular Dirichlet boundary value problems with $\phi $-Laplacian
Applications of Mathematics, Tome 53 (2008) no. 4, pp. 381-399.

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The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem $(\phi (u'))' = \lambda f(t,u,u')$, $u(0)=u(T)=A$. Here $\lambda $ 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.
DOI : 10.1007/s10492-008-0031-z
Classification : 34B09, 34B16, 34B18
Keywords: singular Dirichlet boundary value problem; dead core; positive solution; dead core solution; pseudodead core solution; existence; $\phi $-Laplacian 
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     title = {Dead cores of singular {Dirichlet} boundary value problems with $\phi ${-Laplacian}},
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Agarwal, Ravi P.; O'Regan, Donal; Staněk, Svatoslav. Dead cores of singular Dirichlet boundary value problems with $\phi $-Laplacian. Applications of Mathematics, Tome 53 (2008) no. 4, pp. 381-399. doi : 10.1007/s10492-008-0031-z. http://geodesic.mathdoc.fr/articles/10.1007/s10492-008-0031-z/

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