On elliptic equations in with critical exponents.
Alves, C.O., Goncalves, J.V., Miyagaki, O.H. (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alves, C.O., Goncalves, J.V., Miyagaki, O.H. (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alves, C.O., Miyagaki, O.H. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lazzo, Monica (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Olivier Rey (1992)
Banach Center Publications
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Florin Catrina (2010)
Mathematica Bohemica
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In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.
Gregory S. Spradlin (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle...
Hsu, Tsing-San (2009)
Boundary Value Problems [electronic only]
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Robinson, Steve B. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jan H. Chabrowski (1996)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we construct radial solutions of equation (1) (and (13)) having prescribed number of nodes.