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Asymptotics of ground states for fractional Hénon systems. (English) Zbl 1334.35384

Carvalho, Alexandre N. (ed.) et al., Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-19901-6/hbk; 978-3-319-19902-3/ebook). Progress in Nonlinear Differential Equations and Their Applications 86, 133-161 (2015).
Summary: We investigate the asymptotic behavior of positive ground states for Hénon type systems involving a fractional Laplacian on a bounded domain, when the powers of the nonlinearity approach the Sobolev critical exponent.
For the entire collection see [Zbl 1336.35006].

MSC:

35R11 Fractional partial differential equations
35B40 Asymptotic behavior of solutions to PDEs
35B33 Critical exponents in context of PDEs

References:

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