On Elliptic Equations in RN with Critical Exponents
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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).
CitationAlves, C. O., Goncalves, J. V., & Miyagaki, O. H. (1996). On elliptical equations in RN with critical exponents. Electronic Journal of Differential Equations, 1996(09), pp. 1-11.
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