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Some Weighted Inequalities of Trudinger–Moser Type

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Analysis and Topology in Nonlinear Differential Equations

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 85))

Abstract

We discuss some extensions of the Trudinger–Moser inequality in a special case of weighted Sobolev spaces

Mathematics Subject Classification (2010).Primary 46E35; Secondary 35J60, 35J20.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Milano, via C. Saldini 50, I-20133, Milano, Italy

    Marta Calanchi

Authors
  1. Marta Calanchi
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Corresponding author

Correspondence to Marta Calanchi .

Editor information

Editors and Affiliations

  1. IMECC-UNICAMP, Cidade Universitaria Instituto de Matematica, Estatistica e C, Campinas, São Paulo, Brazil

    Djairo G de Figueiredo

  2. Departamento de Matemática - CCEN, Universidade Federal da Paraíba, João Pessoa, Paraíba, Brazil

    João Marcos do Ó

  3. Departamento de Matemática, Pontifícia Universidade Católica do Rio, Rio de Janeiro, Rio de Janeiro, Brazil

    Carlos Tomei

Additional information

Dedicated to Bernhard Ruf and Daniela Lupo with respect, friendship and warmth

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Calanchi, M. (2014). Some Weighted Inequalities of Trudinger–Moser Type. In: de Figueiredo, D., do Ó, J., Tomei, C. (eds) Analysis and Topology in Nonlinear Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, vol 85. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-04214-5_9

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