Ground state solutions for a semilinear elliptic problem with critical-subcritical growth

التفاصيل البيبلوغرافية
العنوان: Ground state solutions for a semilinear elliptic problem with critical-subcritical growth
المؤلفون: Alves, Claudianor O., Ercole, Grey, Bolãnos, Mario. D. Huamán
سنة النشر: 2017
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs
الوصف: In this work, we study the of positive ground state solution for the semilinear elliptic problem $$ \left\{ \begin{array} [c]{ll}% -\Delta u=u^{p(x)-1},\quad u>0 & \mathrm{in}\,G\subseteq\mathbb{R}^{N}% ,\,N\geq3\\ u\in D_{0}^{1,2}(G), & \end{array} \right. $$ where $G$ is either $\mathbb{R}^{N}$ or a bounded domain, and $p:G\rightarrow \mathbb{R}$ is a continuous function assuming critical and subcritical values.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1707.07898
رقم الانضمام: edsarx.1707.07898
قاعدة البيانات: arXiv