Existence and multiplicity of weak solutions for gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket

Haiffa Muhsan B. ALRİKABİ; Ghasem A. AFROUZİ; Mohsen ALİMOHAMMADY

Makale detayları

Existence and multiplicity of weak solutions for gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket

Yazarlar:

Haiffa Muhsan B. ALRİKABİ | Ghasem A. AFROUZİ | Mohsen ALİMOHAMMADY

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 5, pp.1461-1478

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451424

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

In this paper, we establish the existence and multiplicity results of solutions for parametric quasi-linear systems of the gradient-type on the Sierpiński gasket is proved. Our technical approach is based on variational methods and critical points theory and on certain analytic and geometrical properties of the Sierpiński fractal. Indeed, using a consequence of the local minimum theorem due to Bonanno, the Palais-Smale condition cut off upper at rrr, and the Palais-Smale condition for the Euler functional we investigate the existence of one and two solutions for our problem under algebraic conditions on the nonlinear part. Moreover by applying a different three critical point theorem due to Bonanno and Marano we guarantee the existence of third solution for our problem.

Makale detayları

Existence and multiplicity of weak solutions for gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket

Yazarlar: Haiffa Muhsan B. ALRİKABİ | Ghasem A. AFROUZİ | Mohsen ALİMOHAMMADY

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 5, pp.1461-1478

Belge Tipi: Makale

Yayın Tarihi: 10/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451424

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Haiffa Muhsan B. ALRİKABİ | Ghasem A. AFROUZİ | Mohsen ALİMOHAMMADY

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 5, pp.1461-1478

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451424

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X