On Elliptic Equations in RN with Critical Exponents
Date
1996-10-22
Authors
Alves, C. O.
Goncalves, J. V.
Miyagaki, Olimpio H.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this note we use variational arguments –namely Ekeland’s Principle and the Mountain Pass Theorem– to study the equation
−∆u + α(x)u = λuq + u2*−1 in ℝN.
The main concern is overcoming compactness difficulties due both to the unboundedness of the domain ℝN, and the presence of the critical exponent 2* = 2N / (N − 2).
Description
Keywords
Elliptic equations, Unbounded domains, Critical exponents, Variational methods
Citation
Alves, C. O., Goncalves, J. V., & Miyagaki, O. H. (1996). On elliptical equations in RN with critical exponents. <i>Electronic Journal of Differential Equations, 1996</i>(09), pp. 1-11.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.