Symmetric positive solutions for \(\phi\)-Laplacian boundary-value problems with integral boundary conditions
Electronic journal of differential equations, Tome 2013 (2013)
In this article, we study the existence, multiplicity, and nonexistence of symmetric positive solutions for a class of four-order integral boundary value problems with $\phi$-Laplacian operator. The arguments mainly rely on the Guo-Krasnosel'skii fixed point theorem of cone expansion and compression of norm type and Leggett-Williams fixed point theorem. Finally, some examples are presented to illustrate the main results.
Classification :
34B15, 34B18
Keywords: boundary value problems, integral boundary conditions, symmetric positive solutions, phi-Laplacian operator, fixed point theorem
Keywords: boundary value problems, integral boundary conditions, symmetric positive solutions, phi-Laplacian operator, fixed point theorem
@article{EJDE_2013__2013__a151,
author = {Yang, Wengui},
title = {Symmetric positive solutions for {\(\phi\)-Laplacian} boundary-value problems with integral boundary conditions},
journal = {Electronic journal of differential equations},
year = {2013},
volume = {2013},
zbl = {1293.34038},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a151/}
}
TY - JOUR AU - Yang, Wengui TI - Symmetric positive solutions for \(\phi\)-Laplacian boundary-value problems with integral boundary conditions JO - Electronic journal of differential equations PY - 2013 VL - 2013 UR - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a151/ LA - en ID - EJDE_2013__2013__a151 ER -
%0 Journal Article %A Yang, Wengui %T Symmetric positive solutions for \(\phi\)-Laplacian boundary-value problems with integral boundary conditions %J Electronic journal of differential equations %D 2013 %V 2013 %U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a151/ %G en %F EJDE_2013__2013__a151
Yang, Wengui. Symmetric positive solutions for \(\phi\)-Laplacian boundary-value problems with integral boundary conditions. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a151/