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CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES

Cilt: 1 Sayı: 2 31 Temmuz 2018
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CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES

Öz

In this paper, we construct an integer-valued degree function in a suitable classes of mappings of monotone type, using a complementary system formed of Generalized Sobolev Spaces in which the variable exponent p in P(log)(Omega) satisfy 1 < p'-  < p'+ < + ifinity, where  Omega is in RN is open and bounded.
This kind of spaces are not refexives

Anahtar Kelimeler

Kaynakça

  1. Berkovits, J.: On the degree theory for nonlinear mappings of monotone type. -Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes 58,1986.
  2. Berkovits, J., and V. Mustonen: On topological degree for mappings of monotone type. Nonlinear Anal. 10,1986,1373-1383.
  3. Berkovits, J., and V. Mustonen: Nonlinear mappings of monotone type I. Classification and degree theory. Preprint No 2/88, Mathematics, University of Oulu.
  4. Brouwer, L. E. J: Uber Abbildung von Mannigfaltigkeiten. - Math. Ann. 71, 1912 ,97-115.
  5. F. E. Browder, Fixed point theory and nonlinear problems, Bull. Amer. Math. Soc. 9 (1983) 139.
  6. Browder, F E: Degree of mapping for nonlinear mappings of monotone type. Proc. Natl. Acad. Sci. USA 80, 1771-1773 (1983).
  7. Deimling, K: Nonlinar functional analysis. Springer, Berlin (1985).
  8. L. Dingien, P. Harjulehto, P. Hasto, M. Ruzicka: Lebesgue and Sobolev Spaces with Variable Exponents, Springer (2011).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2018

Gönderilme Tarihi

15 Mayıs 2018

Kabul Tarihi

5 Ağustos 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 1 Sayı: 2

Kaynak Göster

APA
Ait Hammou, M., & Azroul, E. (2018). CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES. Journal of Universal Mathematics, 1(2), 116-129. https://izlik.org/JA93FG86MB
AMA
1.Ait Hammou M, Azroul E. CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES. JUM. 2018;1(2):116-129. https://izlik.org/JA93FG86MB
Chicago
Ait Hammou, Mustapha, ve Elhoussine Azroul. 2018. “CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES”. Journal of Universal Mathematics 1 (2): 116-29. https://izlik.org/JA93FG86MB.
EndNote
Ait Hammou M, Azroul E (01 Temmuz 2018) CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES. Journal of Universal Mathematics 1 2 116–129.
IEEE
[1]M. Ait Hammou ve E. Azroul, “CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES”, JUM, c. 1, sy 2, ss. 116–129, Tem. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA93FG86MB
ISNAD
Ait Hammou, Mustapha - Azroul, Elhoussine. “CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES”. Journal of Universal Mathematics 1/2 (01 Temmuz 2018): 116-129. https://izlik.org/JA93FG86MB.
JAMA
1.Ait Hammou M, Azroul E. CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES. JUM. 2018;1:116–129.
MLA
Ait Hammou, Mustapha, ve Elhoussine Azroul. “CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES”. Journal of Universal Mathematics, c. 1, sy 2, Temmuz 2018, ss. 116-29, https://izlik.org/JA93FG86MB.
Vancouver
1.Mustapha Ait Hammou, Elhoussine Azroul. CONSTRUCTION OF A TOPOLOGICAL DEGREE THEORY IN GENERALIZED SOBOLEV SPACES. JUM [Internet]. 01 Temmuz 2018;1(2):116-29. Erişim adresi: https://izlik.org/JA93FG86MB