Geodesic
Existence of solutions to \(p\)-Laplacian equations involving general subcritical growth
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we consider the quasilinear elliptic equation $-\Delta_p u=\mu f(x,u)$ with the Dirichlet boundary coditions, and under suitable growth condition on the nonlinear term f. Existence of solutions is given for all $\mu>0$ via the variational method and some analysis techniques.
Classification : 35B33, 35J92, 35J35
Keywords: p-Laplacian equation, subcritical growth, variational methods, (C) condition, mountain-pass lemma 
@article{EJDE_2014__2014__a13,
     author = {Lan,  Yong-Yi},
     title = {Existence of solutions to {\(p\)-Laplacian} equations involving general subcritical growth},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.35056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a13/}
}
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%J Electronic journal of differential equations
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Lan,  Yong-Yi. Existence of solutions to \(p\)-Laplacian equations involving general subcritical growth. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a13/