|
Title
|
MULTIPLE SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS SEMILINEAR EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENT
|
|
Type
|
JournalPaper
|
|
Keywords
|
Semilinear equations, degenerate differential operator, partial differential equation on manifold
|
|
Abstract
|
In this paper, we deal with the study of a class of semilinear and nonhomogeneous Schr¨odinger equations on a manifold with conical singularity. We provide a suitable constant by Sobolev embedding constant and the critical cone Sobolev exponent with respect to the nonhomogeneous term g(x) ∈ L n 2 2 (B). Our approach improves on and generalizes the previous results in [Indian J. Pure Appl. Math. 48 (2017), pp. 133–146] and [Ann. Global Anal. Geom. 39 (2011), pp. 27–43]
|
|
Researchers
|
A.A. Jafari (Third Researcher), Mohsen Alimohammady (Second Researcher), Morteza Koozehgar (First Researcher)
|