Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities
Commentationes Mathematicae Universitatis Carolinae (2013)
- Volume: 54, Issue: 4, page 485-491
- ISSN: 0010-2628
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topAnello, Giovanni, and Rao, Giuseppe. "Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities." Commentationes Mathematicae Universitatis Carolinae 54.4 (2013): 485-491. <http://eudml.org/doc/260586>.
@article{Anello2013,
abstract = {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.},
author = {Anello, Giovanni, Rao, Giuseppe},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {elliptic boundary value problems; positive solutions; variational methods; asymptotic behavior; combined nonlinearities; elliptic boundary value problems; positive solutions; variational methods; asymptotic behavior; combined nonlinearities},
language = {eng},
number = {4},
pages = {485-491},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities},
url = {http://eudml.org/doc/260586},
volume = {54},
year = {2013},
}
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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 54
IS - 4
SP - 485
EP - 491
AB - 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.
LA - eng
KW - elliptic boundary value problems; positive solutions; variational methods; asymptotic behavior; combined nonlinearities; elliptic boundary value problems; positive solutions; variational methods; asymptotic behavior; combined nonlinearities
UR - http://eudml.org/doc/260586
ER -
References
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