Results 71 to 80 of about 1,342,909 (347)
On critical point theory for indefinite functionals in the presence of symmetries
, 1982 We consider functionals which are not bounded from above or from below even modulo compact perturbations, and which exhibit certain symmetries with respect to the action of a compact Lie group.
V. Benci
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Single‐cell insights into the role of T cells in B‐cell malignancies
FEBS Letters, EarlyView.Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley +1 more source
Range of semilinear operators for systems at resonance
Electronic Journal of Differential Equations, 2012 For a vector function $u:mathbb{R} o mathbb{R}^N $ we consider the system $$displaylines{ u''(t)+ abla G(u(t))= p(t)cr u(t)=u(t+T), }$$ where $G: mathbb{R}^N o mathbb{R}$ is a $C^1$ function.
Pablo Amster, Mariel Paula Kuna
doaj
Bulletin of Mathematical SciencesDue to the essential difficulty of establishing an appropriate variational framework on a suitable working space, how to apply the critical point theory for showing the existence and multiplicity of periodic solutions of continuous-time difference ...
Genghong Lin +3 more
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Multiple Solutions for a Nonlinear Fractional Boundary Value Problem via Critical Point Theory
Journal of Function Spaces, 2017 This paper is concerned with the existence of multiple solutions for the following nonlinear fractional boundary value problem: DT-αaxD0+αux=fx,ux, x∈0,T, u0=uT=0, where α∈1/2,1, ax∈L∞0,T with a0=ess infx∈0,Tax>0, DT-α and D0+α stand for the left and ...
Yang Wang, Yansheng Liu, Yujun Cui
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A perturbation method in critical point theory and applications
, 1981 This paper is concerned with existence and multiplicity results for nonlinear elliptic equations of the type -Au = |u|''_1u + h(x) in P», u = 0 on 3s. Here, s c R^ is smooth and bounded, and h e L2(Q) is given.
A. Bahri, H. Berestycki
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Molecular Oncology, EarlyView.Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever +1 more
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some remarks on the critical point theory [PDF]
Topological Methods in Nonlinear Analysis, 2007 In this paper we discuss some problems about critical point theory. In the first part of the paper we study existence and multiplicity results of semilinear second order elliptic equation: $$ \begin{cases} -\Delta u=f(x,u) &\text{for } x\in \Omega, \\ u=0 &\text{for } x\in \partial \Omega, \end{cases} $$ In [Z. Li. Liu and S. J.
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A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer
Molecular Oncology, EarlyView.Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini +11 more
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Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential
Entropy, 2017 In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the ...
Neamat Nyamoradi +3 more
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