Perturbed nonlinear degenerate problems in $\mathbb R^N $
Applicationes Mathematicae, Tome 36 (2009) no. 2, pp. 213-223
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Via critical point theory we establish the existence and
regularity of solutions for the quasilinear elliptic problem
$$
\left\{\eqalign{
{-}\textrm{div} \mathcal{A}(x, \nabla u) + a(x)\vert u \vert^{p-2} u =
g(x)|u|^{p-2}u + h(x)|u|^{s-1}u \quad\ \hbox{in } {\Bbb R}^N,\cr
>0,\quad\ \lim_{\vert x \vert \rightarrow \infty} u(x) = 0,}\right.
$$
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.
Keywords:
via critical point theory establish existence regularity solutions quasilinear elliptic problem eqalign textrm div mathcal nabla vert vert p p s quad hbox bbb quad lim vert vert rightarrow infty right where assumed satisfy coercivity condition necessarily bounded satisfy integrability restrictions
Affiliations des auteurs :
A. El Khalil 1 ; S. El Manouni 1 ; M. Ouanan 2
@article{10_4064_am36_2_8,
author = {A. El Khalil and S. El Manouni and M. Ouanan},
title = {Perturbed nonlinear degenerate problems in $\mathbb R^N $},
journal = {Applicationes Mathematicae},
pages = {213--223},
publisher = {mathdoc},
volume = {36},
number = {2},
year = {2009},
doi = {10.4064/am36-2-8},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am36-2-8/}
}
TY - JOUR AU - A. El Khalil AU - S. El Manouni AU - M. Ouanan TI - Perturbed nonlinear degenerate problems in $\mathbb R^N $ JO - Applicationes Mathematicae PY - 2009 SP - 213 EP - 223 VL - 36 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/am36-2-8/ DO - 10.4064/am36-2-8 LA - en ID - 10_4064_am36_2_8 ER -
A. El Khalil; S. El Manouni; M. Ouanan. Perturbed nonlinear degenerate problems in $\mathbb R^N $. Applicationes Mathematicae, Tome 36 (2009) no. 2, pp. 213-223. doi: 10.4064/am36-2-8
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