Geodesic
Existence of solutions to a superlinear \(p\)-Laplacian equation
Electronic journal of differential equations, Tome 2001 (2001)
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},
     year = {2001},
     volume = {2001},
     zbl = {1011.35062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a32/}
}
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%A Liu,  Shibo
%T Existence of solutions to a superlinear \(p\)-Laplacian equation
%J Electronic journal of differential equations
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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/