Positive solutions for a Kirchhoff problem with vanishing nonlocal term
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.04.027
Abstract: In this paper we study the Kirchhoff problem \begin{equation*} \left \{ \begin{array}{ll} -m(\| u \|^{2})\Delta u = f(u) & \mbox{in $\Omega$,} u=0 & \mbox{on $\partial\Omega$,} \end{array}\right. \end{equation*} in a bounded domain, allowing the function $m$… read more here.
Keywords: kirchhoff problem; positive solutions; vanishing nonlocal; solutions kirchhoff ... See more keywords
A perturbed Kirchhoff problem with critical exponent
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1687884
Abstract: ABSTRACT In this paper, we consider a class of Kirchhoff problems as follows (1) where a, b>0 are given constants, ϵ is a small parameter and . We first prove the nondegeneracy of positive solutions… read more here.
Keywords: perturbed kirchhoff; kirchhoff problem; kirchhoff; critical exponent ... See more keywords
Positive solutions to a Kirchhoff problem with sign-changing and non-Lipschitz nonlinearities
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1684481
Abstract: ABSTRACT Let Ω be a bounded smooth domain in ( ), , where , and , and let . We investigate the structure of the set of couples of positive parameters such that the nonlocal… read more here.
Keywords: kirchhoff problem; positive solutions; sign changing; solutions kirchhoff ... See more keywords