Triple positive solutions for the \(\Phi\)-Laplacian when \(\Phi\) is a sup-multiplicative-like function
Electronic journal of differential equations, Tome 2004 (2004)
The existence of triple positive solutions for a boundary-value problem governed by the $\Phi$-Laplacian is investigated, when $\Phi$ is a so-called sup-multiplicative-like function (in a sense introduced in [22]) and the boundary conditions include nonlinear expressions at the end points (as in [21, 28]). The Leggett-Williams fixed point theorem in a cone is used. The results improve and generalize known results given in [21].
Classification :
34B15, 34B18
Keywords: boundary value problems, positive solutions, $\Phi$-Laplacian, Leggett-Williams fixed point theorem
Keywords: boundary value problems, positive solutions, $\Phi$-Laplacian, Leggett-Williams fixed point theorem
@article{EJDE_2004__2004__a188,
author = {Karakostas, George L.},
title = {Triple positive solutions for the {\(\Phi\)-Laplacian} when {\(\Phi\)} is a sup-multiplicative-like function},
journal = {Electronic journal of differential equations},
year = {2004},
volume = {2004},
zbl = {1057.34010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a188/}
}
TY - JOUR AU - Karakostas, George L. TI - Triple positive solutions for the \(\Phi\)-Laplacian when \(\Phi\) is a sup-multiplicative-like function JO - Electronic journal of differential equations PY - 2004 VL - 2004 UR - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a188/ LA - en ID - EJDE_2004__2004__a188 ER -
%0 Journal Article %A Karakostas, George L. %T Triple positive solutions for the \(\Phi\)-Laplacian when \(\Phi\) is a sup-multiplicative-like function %J Electronic journal of differential equations %D 2004 %V 2004 %U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a188/ %G en %F EJDE_2004__2004__a188
Karakostas, George L. Triple positive solutions for the \(\Phi\)-Laplacian when \(\Phi\) is a sup-multiplicative-like function. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a188/