Geodesic
Existence of solutions to a superlinear $p$-Laplacian equation
Electronic Journal of Differential Equations, Tome 2001 (2001).

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

Summary: Using Morse theory, we establish the existence of solutions to the equation $-\Delta_p u = f(x,u)$ with Dirichlet boundary conditions. We assume that $\int_0^s f(x,t)\,dt$ lies between the first two eigenvalues of the p-Laplacian.
Classification : 49J35, 35J65, 35B34
Keywords: p-Laplacian, critical group 
@article{EJDE_2001__2001__a32,
     author = {Liu, Shibo},
     title = {Existence of solutions to a superlinear $p${-Laplacian} equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a32/}
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Liu, Shibo. Existence of solutions to a superlinear $p$-Laplacian equation. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a32/