Dead cores of singular Dirichlet boundary value problems with $\phi$-Laplacian

Agarwal, Ravi P., O'Regan, Donal, and Staněk, Svatoslav. "Dead cores of singular Dirichlet boundary value problems with $\phi $-Laplacian." Applications of Mathematics 53.4 (2008): 381-399. <http://eudml.org/doc/37789>.

@article{Agarwal2008,
abstract = {The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem $(\phi (u^\{\prime \}))^\{\prime \} = \lambda f(t,u,u^\{\prime \})$, $u(0)=u(T)=A$. 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.},
author = {Agarwal, Ravi P., O'Regan, Donal, Staněk, Svatoslav},
journal = {Applications of Mathematics},
keywords = {singular Dirichlet boundary value problem; dead core; positive solution; dead core solution; pseudodead core solution; existence; $\phi $-Laplacian; singular Dirichlet boundary value problem; dead core; positive solution},
language = {eng},
number = {4},
pages = {381-399},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dead cores of singular Dirichlet boundary value problems with $\phi $-Laplacian},
url = {http://eudml.org/doc/37789},
volume = {53},
year = {2008},
}

TY - JOUR
AU - Agarwal, Ravi P.
AU - O'Regan, Donal
AU - Staněk, Svatoslav
TI - Dead cores of singular Dirichlet boundary value problems with $\phi $-Laplacian
JO - Applications of Mathematics
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 381
EP - 399
AB - The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem $(\phi (u^{\prime }))^{\prime } = \lambda f(t,u,u^{\prime })$, $u(0)=u(T)=A$. 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.
LA - eng
KW - singular Dirichlet boundary value problem; dead core; positive solution; dead core solution; pseudodead core solution; existence; $\phi $-Laplacian; singular Dirichlet boundary value problem; dead core; positive solution
UR - http://eudml.org/doc/37789
ER -