Semilinear equations with exponential nonlinearity and measure data

Daniele Bartolucci; Fabiana Leoni; Luigi Orsina; Augusto C. Ponce

Annales de l'I.H.P. Analyse non linéaire (2005)

  • Volume: 22, Issue: 6, page 799-815
  • ISSN: 0294-1449

How to cite

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Bartolucci, Daniele, et al. "Semilinear equations with exponential nonlinearity and measure data." Annales de l'I.H.P. Analyse non linéaire 22.6 (2005): 799-815. <http://eudml.org/doc/78679>.

@article{Bartolucci2005,
author = {Bartolucci, Daniele, Leoni, Fabiana, Orsina, Luigi, Ponce, Augusto C.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Nonlinear elliptic equations; Exponential nonlinearity; Measure data},
language = {eng},
number = {6},
pages = {799-815},
publisher = {Elsevier},
title = {Semilinear equations with exponential nonlinearity and measure data},
url = {http://eudml.org/doc/78679},
volume = {22},
year = {2005},
}

TY - JOUR
AU - Bartolucci, Daniele
AU - Leoni, Fabiana
AU - Orsina, Luigi
AU - Ponce, Augusto C.
TI - Semilinear equations with exponential nonlinearity and measure data
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2005
PB - Elsevier
VL - 22
IS - 6
SP - 799
EP - 815
LA - eng
KW - Nonlinear elliptic equations; Exponential nonlinearity; Measure data
UR - http://eudml.org/doc/78679
ER -

References

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  1. [1] H. Brezis, M. Marcus, A.C. Ponce, Nonlinear elliptic equations with measures revisited, Ann. of Math. Stud., Princeton University Press, in press. Zbl1151.35034
  2. [2] Brezis H., Merle F., Uniform estimates and blow-up behavior for solutions of - Δ u = V x 0 e x 0 e x e u in two dimensions, Comm. Partial Differential Equations16 (1991) 1223-1253. Zbl0746.35006MR1132783
  3. [3] Evans L.C., Gariepy R.F., Measure Theory and Fine Properties of Functions, CRC Press, 1992. Zbl0804.28001MR1158660
  4. [4] Federer H., Geometric Measure Theory, Springer-Verlag, 1969. Zbl0874.49001MR257325
  5. [5] Gilbarg D., Trudinger N.S., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1983. Zbl0562.35001MR737190
  6. [6] Mattila P., Geometry of Sets and Measures in Euclidean Spaces, Cambridge University Press, 1995. Zbl0819.28004MR1333890
  7. [7] A.C. Ponce, How to construct good measures, Proceedings of the Fifth European Conference on Elliptic and Parabolic Problems. A special tribute to the work of Haïm Brezis. Zbl1160.35414
  8. [8] Stampacchia G., Équations elliptiques du second ordre à coefficientes discontinus, Les Presses de l'Université de Montréal, Montréal, 1966. Zbl0151.15501MR251373
  9. [9] Vázquez J.L., On a semilinear equation in R 2 involving bounded measures, Proc. Roy. Soc. Edinburgh Sect. A95 (1983) 181-202. Zbl0536.35025MR726870

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