Singular Dirichlet Problems with Quadratic Gradient

Pedro J. Martínez-Aparicio

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 3, page 559-574
  • ISSN: 0392-4041

Abstract

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We study the existence of solution for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient.

How to cite

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Martínez-Aparicio, Pedro J.. "Singular Dirichlet Problems with Quadratic Gradient." Bollettino dell'Unione Matematica Italiana 2.3 (2009): 559-574. <http://eudml.org/doc/290557>.

@article{Martínez2009,
abstract = {We study the existence of solution for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient.},
author = {Martínez-Aparicio, Pedro J.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {559-574},
publisher = {Unione Matematica Italiana},
title = {Singular Dirichlet Problems with Quadratic Gradient},
url = {http://eudml.org/doc/290557},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Martínez-Aparicio, Pedro J.
TI - Singular Dirichlet Problems with Quadratic Gradient
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/10//
PB - Unione Matematica Italiana
VL - 2
IS - 3
SP - 559
EP - 574
AB - We study the existence of solution for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient.
LA - eng
UR - http://eudml.org/doc/290557
ER -

References

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  2. ARCOYA, D. - MARTÍNEZ-APARICIO, P. J., Quasilinear equations with natural growth, Rev. Mat. Iberoam., 24 (2008), 597-616. Zbl1151.35343MR2459205DOI10.4171/RMI/548
  3. ARCOYA, D. - SEGURA DE LEON, S., Uniqueness of solutions for some elliptic equations with a quadratic gradient term. ESAIM: Control, Optimization and the Calculus of Variations, (2008) DOI:10.1051/cocv:2008072. MR2654196DOI10.1051/cocv:2008072
  4. BOCCARDO, L., Dirichlet problems with singular and quadratic gradient lower order terms, ESAIM: Control, Optimization and the Calculus of Variations, 14 (2008) 411-426. Zbl1147.35034MR2434059DOI10.1051/cocv:2008031
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  9. CRANDALL, M. G. - RABINOWITZ, P. H. - TARTAR, L., On a Dirichlet problem with a singular nonlinearity, Comm. Partial Differential Equations2 (1977), 193-222. Zbl0362.35031MR427826DOI10.1080/03605307708820029
  10. GIACHETTI, D. - MURAT, F., An elliptic problem with a lower order term having singular behaviour, Boll. Un. Mat. Ital. B, (9), II (2009). Zbl1173.35469MR2537275
  11. GILBARG, D. - TRUDINGER, N. S., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983. Zbl0562.35001MR737190DOI10.1007/978-3-642-61798-0
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