Geodesic
Nonlinear elliptic problem of 2-$q$-Laplacian type with asymmetric nonlinearities
Electronic Journal of Differential Equations, Tome 2014 (2014).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a54/}
}
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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/