Geodesic
Nonlinear elliptic problem of 2-\(q\)-Laplacian type with asymmetric nonlinearities
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we study the nonlinear elliptic problem of

$\displaylines{ - \Delta u - \mu \Delta_q u = - \lambda |u|^{r-2} u + a u + b (u^+)^{\theta-1} \quad\hbox{in } \Omega, \cr u = 0 \quad\hbox{on } \partial \Omega, }$

where $\Omega \subset \mathbb{R}^N$ is a bounded domain. For a is between two eigenvalues, we show the existence of three nontrivial solutions.
Classification : 35J60, 35B38
Keywords: quasilinear elliptic equations with q-Laplacian, critical exponent, asymmetric nonlinearity, weak solution 
@article{EJDE_2014__2014__a54,
     author = {Yang,  Dandan and Bai,  Chuanzhi},
     title = {Nonlinear elliptic problem of {2-\(q\)-Laplacian} type with asymmetric nonlinearities},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1298.35077},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a54/}
}
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AU  - Bai,  Chuanzhi
TI  - Nonlinear elliptic problem of 2-\(q\)-Laplacian type with asymmetric nonlinearities
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VL  - 2014
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a54/
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%A Bai,  Chuanzhi
%T Nonlinear elliptic problem of 2-\(q\)-Laplacian type with asymmetric nonlinearities
%J Electronic journal of differential equations
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%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a54/
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%F EJDE_2014__2014__a54
Yang,  Dandan; Bai,  Chuanzhi. Nonlinear elliptic problem of 2-\(q\)-Laplacian type with asymmetric nonlinearities. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a54/