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Asymptotics of ground states for fractional Hénon systems

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Contributions to Nonlinear Elliptic Equations and Systems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 86))

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Abstract

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.

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Acknowledgements

O.H. Miyagaki was partially supported by CNPq/Brazil and CAPES/Brazil (Proc 2531/14-3). J. Yang was supported by NNSF of China, No:11271170; GAN PO 555 program of Jiangxi and NNSF of Jiangxi, No:2012BAB201008. This paper was completed while the second author was visiting the Department of Mathematics of the Rutgers University, whose hospitality he gratefully acknowledges. He wishes to thank Professor H. Brézis for invitation.

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Nevada Las Vegas, 454020, Las Vegas, NV, USA

    David G. Costa

  2. Departamento de Matemática, Universidade Federal de Juiz de Fora, CEP 36036-330, Juiz de Fora, Brazil

    Olı́mpio H. Miyagaki

  3. Dipartimento di Informatica, Università degli Studi di Verona, Strada Le Grazie 15, 37134, Verona, Italy

    Marco Squassina

  4. Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China

    Jianfu Yang

Authors
  1. David G. Costa
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  2. Olı́mpio H. Miyagaki
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  3. Marco Squassina
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  4. Jianfu Yang
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Corresponding author

Correspondence to David G. Costa .

Editor information

Editors and Affiliations

  1. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, São Paulo, Brazil

    Alexandre Nolasco de Carvalho

  2. Dipartimento di Matematica, Università degli Studi di Milano, Lombardia, Milano, Italy

    Bernhard Ruf

  3. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, São Paulo, Brazil

    Ederson Moreira dos Santos

  4. Département de Mathématique. CP 214, Université Libre de Bruxelles, Brussels, Belgium

    Jean-Pierre Gossez

  5. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, São Paulo, Brazil

    Sergio Henrique Monari Soares

  6. Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions, Paris, Paris, France

    Thierry Cazenave

Additional information

Dedicated to Professor Djairo G. de Figueiredo on the occasion of his 80th birthday

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Costa, D.G., Miyagaki, O.H., Squassina, M., Yang, J. (2015). Asymptotics of ground states for fractional Hénon systems. In: Nolasco de Carvalho, A., Ruf, B., Moreira dos Santos, E., Gossez, JP., Monari Soares, S., Cazenave, T. (eds) Contributions to Nonlinear Elliptic Equations and Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 86. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-19902-3_10

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