期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020; 20 (3)
Let (Mn+1, F) be a Randers space and (M-n, F) a compact hypersurface of (Mn+1, F). In this paper, we prove that if the second mean curvature H-2 is co......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020; 20 (4)
Let (Sigma, g) be a closed Riemannian surface, W-1,W-2(Sigma, g) be the usual Sobolev space, G be a finite isometric group acting on (Sigma, g), and H......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020; 21 ()
Luo and Yin established a generalized Ovsyannikov theorem in [1]. However, Lemma 3.7 on which Theorem 3.1 is crucially based is incorrect. In this not......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020; 21 ()
Ghosh and Sarnak have studied integral points on surfaces defined by an equation x(2) + y(2) + z(2) - xyz = m over the integers. For these affine surf......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020; 21 ()
Let Omega be a smooth bounded domain in R-n and denote the regular part of the Green function on Omega with Dirichlet boundary condition by H(x, y). A......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2019; 19 (1)
We study a non-Abelian Chern-Simons system in R-2, including the simple Lie algebras A(2) and B-2. In a previous work, we proved the existence of radi......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2019; 19 (3)
This note gives a first sufficient condition that ensures a non-negative, locally bounded, local solution to a logarithmically singular parabolic equa......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2019; 19 (3)
Let f : X -> B be a locally non-trivial relatively minimal fibration of genus g >= 2 with relative irregularity q(f) . It was conjectured by Bar......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018; 18 (1)
In this paper we study the spectral property of a Fokker-Planck operator with potential. By virtue of a multiplier method inspired by Nicolas Lerner, ......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018; 18 (3)
In this paper we mainly investigate the Cauchy problem of Camassa-Holm type systems. By constructing a new auxiliary function, we present a generalize......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018; 18 (2)
We consider the following singularly perturbed Neumann problem (Lin-Ni-Takagi problem) epsilon(2) Delta u - u + u(p) = 0 , u > 0 in Omega, partial ......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018; 18 (2)
The chemotaxis-Navier Stokes system with signal production, as given by {n(1)+ u . del n = Delta n - del . (nS(x, n, c) . del c) c(1) + u . del c = c ......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018; 18 (4)
This paper shows that under {0 < beta, kappa <= n; -infinity < lambda <= n; 1 <= p, q < infinity; p(-1)(n - beta) < alpha < mi......
期刊： ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018; 18 (4)
Let S be a complex minimal surface of general type with irregularity q(S) = 1 and Aut(0)(S) subset of Aut(S) the subgroup of automorphisms acting triv......
