Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension $p$-Laplacian
Jiang, Daqing ; Zhang, Li Li ; O'Regan, Donal ; Agarwal, Ravi P.
Archivum Mathematicum, Tome 040 (2004), p. 367-381 / Harvested from Czech Digital Mathematics Library
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In this paper we establish the existence of single and multiple solutions to the positone discrete Dirichlet boundary value problem \[ \left\lbrace \begin{array}{l} \Delta \big [\phi (\Delta u(t-1))\big ]+ q(t) f(t,u(t))=0\,,\quad t\in \lbrace 1,2,\dots ,T\rbrace \\[3pt] u(0)=u(T+1)=0\,, \end{array} \right. \] where $\phi (s) = |s|^{p-2}s$, $p>1$ and our nonlinear term $f(t,u)$ may be singular at $u=0$.

Publié le : 2004-01-01
Classification:  34B15,  39A11,  39A12 
@article{107921,
     author = {Daqing Jiang and Li Li Zhang and Donal O'Regan and Ravi P. Agarwal},
     title = {Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension $p$-Laplacian},
     journal = {Archivum Mathematicum},
     volume = {040},
     year = {2004},
     pages = {367-381},
     zbl = {1113.39022},
     mrnumber = {2129959},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107921}
}

Jiang, Daqing; Zhang, Li Li; O'Regan, Donal; Agarwal, Ravi P. Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension $p$-Laplacian. Archivum Mathematicum, Tome 040 (2004) pp. 367-381. http://gdmltest.u-ga.fr/item/107921/

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