Perturbed nonlinear degenerate problems in $ℝ^{N}$

A. El Khalil; S. El Manouni; M. Ouanan

Perturbed nonlinear degenerate problems in

ℝ^{N}

A. El Khalil ; S. El Manouni ; M. Ouanan

Applicationes Mathematicae, Tome 36 (2009), p. 213-223 / Harvested from The Polish Digital Mathematics Library

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Résumé

Via critical point theory we establish the existence and regularity of solutions for the quasilinear elliptic problem ⎧ $d i v (x, \nabla u) + {a (x) | u |}^{p - 2} u = {g (x) | u |}^{p - 2} u + h (x) {| u |}^{s - 1} u$ in $ℝ^{N}$ ⎨ ⎩ u > 0, $l i m_{| x | \to \infty} u (x) = 0$ , where 1 < p < N; a(x) is assumed to satisfy a coercivity condition; h(x) and g(x) are not necessarily bounded but satisfy some integrability restrictions.

Publié le : 2009-01-01

Zbl 1173.35466

EUDML-ID : urn:eudml:doc:286282

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     author = {A. El Khalil and S. El Manouni and M. Ouanan},
     title = {Perturbed nonlinear degenerate problems in $$\mathbb{R}$^{N}$
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     journal = {Applicationes Mathematicae},
     volume = {36},
     year = {2009},
     pages = {213-223},
     zbl = {1173.35466},
     language = {en},
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A. El Khalil; S. El Manouni; M. Ouanan. Perturbed nonlinear degenerate problems in $ℝ^{N}$
            . Applicationes Mathematicae, Tome 36 (2009) pp. 213-223. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-2-8/