Geodesic
Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 4, pp. 485-491 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Let $p>1$, $q>p$, $\lambda >0$ and $s\in ]1,p[$. We study, for $s\rightarrow p^-$, the behavior of positive solutions of the problem $-\Delta_p u = \lambda u^{s-1}+u^{q-1}$ in $\Omega$, $u_{\mid\partial \Omega}=0$. In particular, we give a positive answer to an open question formulated in a recent paper of the first author.
Let $p>1$, $q>p$, $\lambda >0$ and $s\in ]1,p[$. We study, for $s\rightarrow p^-$, the behavior of positive solutions of the problem $-\Delta_p u = \lambda u^{s-1}+u^{q-1}$ in $\Omega$, $u_{\mid\partial \Omega}=0$. In particular, we give a positive answer to an open question formulated in a recent paper of the first author.
Classification : 35J20, 35J25, 35J92
Keywords: elliptic boundary value problems; positive solutions; variational methods; asymptotic behavior; combined nonlinearities 
@article{CMUC_2013_54_4_a2,
     author = {Anello, Giovanni and Rao, Giuseppe},
     title = {Asymptotic behavior of positive solutions of a {Dirichlet} problem involving supercritical nonlinearities},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {485--491},
     year = {2013},
     volume = {54},
     number = {4},
     mrnumber = {3125071},
     zbl = {06373979},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2013_54_4_a2/}
}
TY  - JOUR
AU  - Anello, Giovanni
AU  - Rao, Giuseppe
TI  - Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2013
SP  - 485
EP  - 491
VL  - 54
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_2013_54_4_a2/
LA  - en
ID  - CMUC_2013_54_4_a2
ER  - 
%0 Journal Article
%A Anello, Giovanni
%A Rao, Giuseppe
%T Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities
%J Commentationes Mathematicae Universitatis Carolinae
%D 2013
%P 485-491
%V 54
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_2013_54_4_a2/
%G en
%F CMUC_2013_54_4_a2
Anello, Giovanni; Rao, Giuseppe. Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities. Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 4, pp. 485-491. http://geodesic.mathdoc.fr/item/CMUC_2013_54_4_a2/