Two solutions for a nonlinear Dirichlet problem with positive forcing

J. Matos; Luis Sanchez

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 1, page 41-54
  • ISSN: 0862-7959

Abstract

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Given a semilinear elliptic boundary value problem having the zero solution and where the nonlinearity crosses the first eigenvalue, we perturb it by a positive forcing term; we show the existence of two solutions under certain conditions that can be weakened in the onedimensional case.

How to cite

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Matos, J., and Sanchez, Luis. "Two solutions for a nonlinear Dirichlet problem with positive forcing." Mathematica Bohemica 121.1 (1996): 41-54. <http://eudml.org/doc/247982>.

@article{Matos1996,
abstract = {Given a semilinear elliptic boundary value problem having the zero solution and where the nonlinearity crosses the first eigenvalue, we perturb it by a positive forcing term; we show the existence of two solutions under certain conditions that can be weakened in the onedimensional case.},
author = {Matos, J., Sanchez, Luis},
journal = {Mathematica Bohemica},
keywords = {semilinear elliptic equations; multiple solutions; shooting method; variational methods; semilinear elliptic equations; multiple solutions; shooting method; variational methods},
language = {eng},
number = {1},
pages = {41-54},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two solutions for a nonlinear Dirichlet problem with positive forcing},
url = {http://eudml.org/doc/247982},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Matos, J.
AU - Sanchez, Luis
TI - Two solutions for a nonlinear Dirichlet problem with positive forcing
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 1
SP - 41
EP - 54
AB - Given a semilinear elliptic boundary value problem having the zero solution and where the nonlinearity crosses the first eigenvalue, we perturb it by a positive forcing term; we show the existence of two solutions under certain conditions that can be weakened in the onedimensional case.
LA - eng
KW - semilinear elliptic equations; multiple solutions; shooting method; variational methods; semilinear elliptic equations; multiple solutions; shooting method; variational methods
UR - http://eudml.org/doc/247982
ER -

References

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