ArticleOriginal scientific text

Title

A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions

Authors 1, 2

Affiliations

  1. Department of Sciences, Technical University of Crete, 73100 Chania, Greece
  2. Science Department, Technological and Educational Institute of Crete, 71500 Heraklion, Greece

Abstract

We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.

Keywords

quasilinear system, nonlinear boundary condition, fibering method, principal eigenvalue

Bibliography

  1. I. Babuska and J. Osborn, Eigenvalue problems, in: 'Handbook of Numerical Analysis', vol. II, North-Holland, Amsterdam, 641-787 (1991).
  2. J. Fernandez Bonder and J. Rossi, A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding, Publ. Mat. 46 (1) (2002), 221-235.
  3. Y. Bozhkov and E. Mitidieri, Existence of multiple solutions for quasilinear systems via fibering method, J. Diff. Eq. 190 (2003), 239-267.
  4. S.I. Pohozaev, On a constructive method in calculus of variations, Dokl. Akad. Nauk 298 (1988) 1330-1333 (in Russian) and 37 (1988), 274-277 (in English).
  5. S.I. Pohozaev, On fibering method for the solutions of nonlinear boundary value problems, Trudy Mat. Inst. Steklov 192 (1990), 146-163 (in Russian).
  6. J.L. Vázquez, A Strong Maximum Principle for some Quasilinear Elliptic Equations, Appl. Math. Optim. 12 (1984), 191-202.
Pages:
113-121
Main language of publication
English
Received
2005-08-03
Published
2006
Exact and natural sciences