On the continuity of strongly nonlinear potential

Noureddine Aïssaoui

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 2, page 215-228
  • ISSN: 0139-9918

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Aïssaoui, Noureddine. "On the continuity of strongly nonlinear potential." Mathematica Slovaca 51.2 (2001): 215-228. <http://eudml.org/doc/32149>.

@article{Aïssaoui2001,
author = {Aïssaoui, Noureddine},
journal = {Mathematica Slovaca},
keywords = {Orlicz space; capacity; boundedness principle; continuity principle; -function; -condition; strongly nonlinear potential},
language = {eng},
number = {2},
pages = {215-228},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the continuity of strongly nonlinear potential},
url = {http://eudml.org/doc/32149},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Aïssaoui, Noureddine
TI - On the continuity of strongly nonlinear potential
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 2
SP - 215
EP - 228
LA - eng
KW - Orlicz space; capacity; boundedness principle; continuity principle; -function; -condition; strongly nonlinear potential
UR - http://eudml.org/doc/32149
ER -

References

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  1. ADAMS D. R.-HEDBERG L. I., Function Spaces and Potential Theory, Springer-Verlag, Heidelberg-New York, 1996. (1996) MR1411441
  2. ADAMS D. R.-MEYERS N. G., Bessel potentials. Inclusion relations among classes of exceptional sets, Indiana Univ. Math. J. 22 (1973), 873-905. (1973) Zbl0285.31007MR0320346
  3. ADAMS R., Sobolev Spaces, Acad. Press., New York, 1975. (1975) Zbl0314.46030MR0450957
  4. AISSAOUI N., Note sur la capacitabilite dans les espaces d'Orlicz, Ann. Sci. Math. Quebec 19 (1995), 107-113. (1995) Zbl0841.46017MR1365820
  5. AISSAOUI N., On the continuity of Bessel potentials in Orlicz spaces, Collect. Math. 47 (1996), 77-89. (1996) Zbl0852.46028MR1387664
  6. AISSAOUI N., Instability of capacity in Orlicz spaces, Potential Anal. 6 (1997), 327-346. (1997) Zbl0896.46020MR1452786
  7. AISSAOUI N.-BENKIRANE A., Capacites dans les espaces d'Orlicz, Ann. Sci. Math. Quebec 18 (1994), 1-23. (1994) Zbl0822.31006MR1273865
  8. AISSAOUI N.-BENKIRANE A., Potentiel non lineaire dans les espaces d'Orlicz, Ann. Sci. Math. Quebec 18 (1994), 105-118. (1994) Zbl0826.46022MR1311749
  9. HAVIN V. P.-MAZ'YA V. G., Non-linear potential theory, Uspekhi Math. Nauk 27 (1972), 67-138. (1972) 
  10. KRASNOSEL'SKII M. A.-RUTICKII Y. B., Convex Functions and Orlicz Spaces, P. Noordhoff, Groningen (The Netherlands), 1961. (1961) MR0126722
  11. RAO M. M.-REN Z. D., Theory of Orlicz Spaces, Dekker, New-York, 1991. (1991) Zbl0724.46032MR1113700
  12. UGAHERI T., On the general potential and capacity, Japan. J. Math. 20 (1950), 37-43. (1950) Zbl0041.22203MR0046496

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