Eudes Mendes Barboza, João Marcos do Ó, Bruno Ribeiro. Source: Advances in Differential Equations, Volume 24, Number 11/12, 713--744.Abstract: In this paper, our goal is to study the following class of Hénon type problems \begin{equation*} \left\{\begin{array}{rclcl}\displaystyle -\Delta u &...

Mitsuo Higaki. Source: Advances in Differential Equations, Volume 24, Number 11/12, 647--712.Abstract: The asymptotic stability of two-dimensional stationary flows in a non-symmetric exterior domain is considered. Under the smallness condition on initial perturbations, we show the stability of the...

Norihisa Ikoma, Kazunaga Tanaka. Source: Advances in Differential Equations, Volume 24, Number 11/12, 609--646.Abstract: We study the existence of $L^2$ normalized solutions for nonlinear Schrödinger equations and systems. Under new Palais-Smale type conditions, we develop new deformation...

Takeyuki Nagasawa, Kohei Nakamura. Source: Advances in Differential Equations, Volume 24, Number 9/10, 581--608.Abstract: Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the...

Tomoyuki Tanaka. Source: Advances in Differential Equations, Volume 24, Number 9/10, 555--580.Abstract: We consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. Nonlinear terms may yield derivative losses, which prevents us from using the classical energy method. In...

Fabio Camilli, Raul De Maio. Source: Advances in Differential Equations, Volume 24, Number 9/10, 531--554.Abstract: We consider a Mean Field Games model where the dynamics of the agents is subdiffusive. According to the optimal control interpretation of the problem, we get a system involving...

Jie Xiao, Dachun Yang, Junjie Zhang, Yuan Zhou. Source: Advances in Differential Equations, Volume 24, Number 9/10, 501--530.Abstract: This paper shows a Liouville-type law for the incompressible Stokes system and a trace principle over the uniform domains for the BMO-Q spaces...

Ali Zamani. Source: Annals of Functional Analysis, Volume 10, Number 3, 433--445.Abstract: In the following we generalize the concept of Birkhoff–James orthogonality of operators on a Hilbert space when a semi-inner product is considered. More precisely, for linear operators $T$ and $S$ on a...

Trung Hoa Dinh, Oleg E. Tikhonov, Lidia V. Veselova. Source: Annals of Functional Analysis, Volume 10, Number 3, 425--432.Abstract: We extend inequalities for operator monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra. In particular, this...

Qingmei Bai, Alatancang Chen, Junjie Huang. Source: Annals of Functional Analysis, Volume 10, Number 3, 412--424.Abstract: Let $M_{C}=[\begin{smallmatrix}A&C\\0&B\end{smallmatrix}]:\mathcal{D}(A)\oplus \mathcal{D}(B)\subset \mathcal{H}\oplus\mathcal{K}\longrightarrow \mathcal{H}\oplus...