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

Dimitrios A. Kandilakis; Manolis Magiropoulos

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2006)

  • Volume: 26, Issue: 1, page 113-121
  • ISSN: 1509-9407

Abstract

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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.

How to cite

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Dimitrios A. Kandilakis, and Manolis Magiropoulos. "A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 26.1 (2006): 113-121. <http://eudml.org/doc/271145>.

@article{DimitriosA2006,
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.},
author = {Dimitrios A. Kandilakis, Manolis Magiropoulos},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {quasilinear system; nonlinear boundary condition; fibering method; principal eigenvalue},
language = {eng},
number = {1},
pages = {113-121},
title = {A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions},
url = {http://eudml.org/doc/271145},
volume = {26},
year = {2006},
}

TY - JOUR
AU - Dimitrios A. Kandilakis
AU - Manolis Magiropoulos
TI - A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2006
VL - 26
IS - 1
SP - 113
EP - 121
AB - 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.
LA - eng
KW - quasilinear system; nonlinear boundary condition; fibering method; principal eigenvalue
UR - http://eudml.org/doc/271145
ER -

References

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  1. [1] I. Babuska and J. Osborn, Eigenvalue problems, in: 'Handbook of Numerical Analysis', vol. II, North-Holland, Amsterdam, 641-787 (1991). Zbl0875.65087
  2. [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. Zbl1014.35070
  3. [3] Y. Bozhkov and E. Mitidieri, Existence of multiple solutions for quasilinear systems via fibering method, J. Diff. Eq. 190 (2003), 239-267. Zbl1021.35034
  4. [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. [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. [6] J.L. Vázquez, A Strong Maximum Principle for some Quasilinear Elliptic Equations, Appl. Math. Optim. 12 (1984), 191-202. Zbl0561.35003

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