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Contributions to Nonlinear Analysis pp 17–32Cite as

Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 66))

Abstract

In this work, we study the existence of solutions for a class of problems involving p(x)-Laplacian operator in IR N. Using variational techniques we show some results of existence for a class of problems involving critical and subcritical growth.

Research Supported by IM-AGIMB-Brazil and CNPq/PADCT 620017/2004-0.

Partially supported by CNPq

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Author information

Authors and Affiliations

  1. Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Cep: 58109-970, Campina Grande — Pb, Brazil

    Claudianor O. Alves & Marco A.S. Souto

Authors
  1. Claudianor O. Alves
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  2. Marco A.S. Souto
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Editor information

Editors and Affiliations

  1. Laboratoire Jacques-Louis Lions B.C. 187, Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris Cedex 05, France

    Thierry Cazenave

  2. Department of Mathematical Sciences, University of Nevada, Las Vegas, NV, 89154-4020, USA

    David Costa

  3. Instituto de Matemática, UNICAMP - IMECC, Caixa Postal: 6065, 13083-859, Campinas, SP, Brasil

    Orlando Lopes

  4. Departamento de Ingenieria Matemática Facultad de Ciencias Fisicas y Matemáticas, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile

    Raúl Manásevich

  5. Mathematics Department, University of Wisconsin-Madison, 480 Lincoln Dr, Madison, WI, 53706-1388, USA

    Paul Rabinowitz

  6. Dipartimento di Matematica, Università degli Studi, Via Saldini 50, 20133, Milano, Italy

    Bernhard Ruf

  7. Departamento de Matemática, PUC Rio, Rua Marquês de São Vicente, 225 EdifÍcio Cardeal Leme, Gávea - Rio de Janeiro, 22453-900, Brasil

    Carlos Tomei

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Alves, C.O., Souto, M.A. (2005). Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian. In: Cazenave, T., et al. Contributions to Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 66. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7401-2_2

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