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