A remark on quasilinear elliptic variational inequalities with discontinuous coefficients

Biagio Ricceri

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 1, page 17-19
  • ISSN: 1120-6330

Abstract

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This Note contains the following remark on a recent result by Boccardo and Buttazzo: under the same assumptions, a stronger conclusion, concerning the solvability of variational inequalities, can be obtained.

How to cite

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Ricceri, Biagio. "A remark on quasilinear elliptic variational inequalities with discontinuous coefficients." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.1 (1990): 17-19. <http://eudml.org/doc/244165>.

@article{Ricceri1990,
abstract = {This Note contains the following remark on a recent result by Boccardo and Buttazzo: under the same assumptions, a stronger conclusion, concerning the solvability of variational inequalities, can be obtained.},
author = {Ricceri, Biagio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Elliptic variational inequalities; Integral functionals; Pseudomonotone operators; elliptic variational inequalities; integral functionals; pseudomonotone operators},
language = {eng},
month = {2},
number = {1},
pages = {17-19},
publisher = {Accademia Nazionale dei Lincei},
title = {A remark on quasilinear elliptic variational inequalities with discontinuous coefficients},
url = {http://eudml.org/doc/244165},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Ricceri, Biagio
TI - A remark on quasilinear elliptic variational inequalities with discontinuous coefficients
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/2//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 1
SP - 17
EP - 19
AB - This Note contains the following remark on a recent result by Boccardo and Buttazzo: under the same assumptions, a stronger conclusion, concerning the solvability of variational inequalities, can be obtained.
LA - eng
KW - Elliptic variational inequalities; Integral functionals; Pseudomonotone operators; elliptic variational inequalities; integral functionals; pseudomonotone operators
UR - http://eudml.org/doc/244165
ER -

References

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  1. AMBROSIO, L., New lower semicontinuity results for integral functionals. Rend. Accad. Naz. Sci. XL, Mem. Mat., 11, 1987, 1-42. Zbl0642.49007MR930856
  2. BOCCARDO, L. - BUTTAZZO, G., Quasilinear elliptic equations with discontinuous coefficients. Atti Acc. Lincei Rend. fis., s. 8, vol. 82, 1988, 21-28. Zbl0679.35035MR999834
  3. EKELAND, I. - TEMAM, R., Analyse convexe et problèmes variationnels. Dunod, Gauthier-Villars, 1974. Zbl0281.49001MR463993
  4. HIMMELBERG, C. J., Measurable relations. Fund. Math., 87, 1975, 53-72. Zbl0296.28003MR367142
  5. TROIANIELLO, G. M., Elliptic differential equations and obstacle problems. Plenum Press, 1987. Zbl0655.35002MR1094820

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