On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces

Elhoussine Azroul; Abdelmoujib Benkirane

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 1, page 93-105
  • ISSN: 0232-0525

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Azroul, Elhoussine, and Benkirane, Abdelmoujib. "On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces." Mathematica Slovaca 51.1 (2001): 93-105. <http://eudml.org/doc/31985>.

@article{Azroul2001,
author = {Azroul, Elhoussine, Benkirane, Abdelmoujib},
journal = {Mathematica Slovaca},
keywords = {N-function; Orlicz-Sobolev space; semi-continuity; convex function; calculus of variations},
language = {eng},
number = {1},
pages = {93-105},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces},
url = {http://eudml.org/doc/31985},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Azroul, Elhoussine
AU - Benkirane, Abdelmoujib
TI - On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 1
SP - 93
EP - 105
LA - eng
KW - N-function; Orlicz-Sobolev space; semi-continuity; convex function; calculus of variations
UR - http://eudml.org/doc/31985
ER -

References

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  1. DACOROGNA B., Weak Continuity and Weak Lower Semicontгnuity of Nonlinear Functional, Lecture Notes in Math. 922, Springer, Berlin, 1982. (1982) MR0658130
  2. GOSSEZ J.-P., Some approximation properties in Orlicz-Sobolev spaces, Studia Math. 74 (1982), 17-24. (1982) Zbl0503.46018MR0675429
  3. KRASNOSEĽSKII M. A.-RUTICKII, YA. B., Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., Groningen (The Netherlands), 1961. (1961) MR0126722
  4. KUFNER A.-JOHN O.-FUČÍK S., Function Spaces, Academia, Prague, 1977. (1977) Zbl0364.46022MR0482102
  5. LANDES R., On a necessary condition in the calculus of variations, Rend. Circ. Mat. Palermo (2) LXI (1992), 369-387. (1992) Zbl0786.49010MR1230584
  6. MARCELLINI P.-SBORDONE C., Semicontinuity problems in the calculus of variations, Nonlinear Anal. 4 (1980), 241-257. (1980) Zbl0537.49002MR0563807
  7. O'NEIL. R., Fractional integration in Orlicz spaces, Trans. Amer. Math. Soc. 115 (1988), 300-328. (1988) 

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