Tianling Jin, Yan Yan Li, Jingang Xiong (2014)
Journal of the European Mathematical Society
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We prove some results on the existence and compactness of solutions of a fractional Nirenberg problem. The crucial ingredients of our proofs are the understanding of the blow up profiles and a Liouville theorem.
Begoña Barrios, Ida De Bonis, María Medina, Ireneo Peral (2015)
Open Mathematics
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The aim of this paper is to study the solvability of the problem [...] where Ω is a bounded smooth domain of RN, N > 2s, M ε {0, 1}, 0 < s < 1, γ > 0, λ > 0, p > 1 and f is a nonnegative function. We distinguish two cases: – For M = 0, we prove the existence of a solution for every γ > 0 and λ > 0. A1 – For M = 1, we consider f ≡ 1 and we find a threshold ʌ such that there exists a solution for every 0 < λ < ʌ ƒ, and there does not for λ > ʌ ƒ ...
Hans-Christoph Grunau, Mohameden Ould Ahmedou, Wolfgang Reichel (2008)
Annales de l'I.H.P. Analyse non linéaire
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Peterson, Lawrence J. (ed.) (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Tamar Burak (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Celso Martinez, Miguel Sanz (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Praveen Agarwal, Juan J. Nieto (2015)
Open Mathematics
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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.