Results 51 to 60 of about 2,430,844 (266)
Relations between the mountain pass theorem and local minima
Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.
Bonanno Gabriele
doaj +1 more source
ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye +33 more
wiley +1 more source
Second order ODE; Dirichlet problem; variational method; critical point
In this note, we prove the existence of a solution to the semilinear second order ordinary differential equation $$displaylines{ u''(x)+ r(x) u'+g(x,u)=f(x),,cr x(0)=x(pi)=0,, }$$ using a variational method and critical point theory.
Petr Tomiczek
doaj
ABSTRACT Background Establishing a comprehensive apheresis medicine program in a resource‐constrained setting presents significant structural, financial, and logistical challenges. Despite the growing clinical importance of apheresis services globally, published experience from sub‐Saharan Africa remains sparse.
Folasade Adelekan‐Popoola +4 more
wiley +1 more source
ABSTRACT Background Maintenance hemodialysis (MHD) patients frequently suffer from frailty, characterized by reduced physical function and poor prognosis. Myokines, such as myonectin, secreted by muscle, are emerging regulators of systemic health. This study investigated the relationship between serum myonectin, adipokines (adiponectin, omentin), and ...
Kenichi Kono +7 more
wiley +1 more source
In this article we study the existence of solutions for the Dirichlet problem $$\displaylines{ -\text{div}(| \nabla u |^{p(x)-2}\nabla u)+V(x)|u|^{q(x)-2}u =f(x,u)\quad \text{in }\Omega,\cr u=0\quad \text{on }\partial \Omega, }$$ where $\Omega$ is
Aboubacar Abdou, Aboubacar Marcos
doaj
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
wiley +1 more source
ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source
Critical point approaches for discrete anisotropic Kirchhoff type problems
Shapour Heidarkhani +2 more
doaj +1 more source
A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
doaj +1 more source

