Geodesic
Multiplicity theorems for semipositone $p$-Laplacian problems
Electronic Journal of Differential Equations, Tome 2011 (2011).

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

Summary: In this article, we study the existence of solutions for the semipositone p-Laplacian problems. Under a subliner behavior at infinity, using degree theoretic arguments based on the degree map for operators of type (S)_+, we prove the existence of at least two nontrivial solutions.
Classification : 35J92, 35B05, 46T20
Keywords: weak solutions, operator of type (S)_+, semipositone, p-Laplacian problems 
@article{EJDE_2011__2011__a7,
     author = {Shang, Xudong},
     title = {Multiplicity theorems for semipositone $p${-Laplacian} problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a7/}
}
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Shang, Xudong. Multiplicity theorems for semipositone $p$-Laplacian problems. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a7/