In this article, we study the following fractional elliptic equation with critical growth and singular nonlinearity: (Equation presented) where Ω is a bounded domain in ℝn with smooth boundary ∂Ω, n &gt; 2s, s ∈ (0, 1), λ &gt; 0, q &gt; 0 and 2∗s = 2n/n-2s. We use variational methods to show the existence and multiplicity of positive solutions with respect to the parameter λ. © 2017 Walter de Gruyter GmbH, Berlin/Boston.

Tuhina Mukherjee

Department of Mathematics

IIT Jodhpur

J. Giacomoni

K. Sreenadh

Fulltext

&ldquo;IIT Jodhpur is committed to impart quality education to facilitate the creation of qualified, competent and responsible human resources to meet the emerging technological challenges of the world. It is working towards creating an equitable learning platform that is positive, accessible and effective in the face of the modern societal and scientific advancements.

Flexibility in curriculum, in all its academic programs, encompassing elements of teaching, research, creativity, innovation and entrepreneurship is the most unique feature of IIT Jodhpur. The Department of Science and Technology (DST), under the National Mission on Cyber Physical Systems, has identified IIT Jodhpur as a Technology &amp; Innovation Hub in the area of Augmented Reality and Virtual Reality. The institute has also been nominated as the coordinator for the Jodhpur City and Knowledge Cluster by the Office of Principal Scientific Adviser, Government of India.

The sprawling 852-acre IIT Jodhpur campus is a majestic tribute to the deep-rooted diverse cultural heritage of the region. The campus is an architectural masterpiece, which is slated to become an international exemplar of sustainability with net-zero energy, and advanced water and waste management strategies.&rdquo;

Journal	Data powered by TypesetAdvances in Nonlinear Analysis
Publisher	Data powered by TypesetWalter de Gruyter GmbH
ISSN	21919496