Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach
Drábek, Pavel ; Moudan, Zakaria ; Touzani, Abdelfettah
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 421-431 / Harvested from Czech Digital Mathematics Library
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The nonlinear eigenvalue problem for p-Laplacian $$ \cases - \operatorname{div} (a(x) |\nabla u|^{p-2} \nabla u) = \lambda g (x) |u|^{p-2} u \text{ in } \Bbb R^N, \ u >0 \text{ in } \Bbb R^N, \mathop{\lim}\limits_{|x|\to \infty} u(x) = 0, \endcases $$ is considered. We assume that $1 < p < N$ and that $g$ is indefinite weight function. The existence and $C^{1, \alpha}$-regularity of the weak solution is proved.

Publié le : 1997-01-01
Classification:  35J65,  35J70,  35P30,  49J40,  49R50 
@article{118942,
     author = {Pavel Dr\'abek and Zakaria Moudan and Abdelfettah Touzani},
     title = {Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {421-431},
     zbl = {0940.35150},
     mrnumber = {1485065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118942}
}

Drábek, Pavel; Moudan, Zakaria; Touzani, Abdelfettah. Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 421-431. http://gdmltest.u-ga.fr/item/118942/

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