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
@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/}
}
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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/