Geodesic
Symmetric positive solutions for $\phi$-Laplacian boundary-value problems with integral boundary conditions
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Yang, Wengui},
     title = {Symmetric positive solutions for $\phi${-Laplacian} boundary-value problems with integral boundary conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     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/