A modified zero energy critical point theory with applications to several nonlocal problems
In this paper, we devote ourselves to considering a modified zero energy critical point theory for a specific set of functionals denoted as $\Phi_{\mu}$, defined within the confines of a uniformly convex Banach space.
Xinzhong Liang, Binlin Zhang
doaj +1 more source
Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein
Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux +7 more
wiley +1 more source
Multiplicity results for a discrete boundary value problem via critical point theory [PDF]
This paper is a survey on some recent multiplicity results, contained in [11], for a discrete boundary value problem involving the p-Laplacian via critical point theory.
Candito P.
core
Range of semilinear operators for systems at resonance
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
Critical analysis of the theory of movement in movement in Allameh Tabatabai's view point [PDF]
Sadr al-Matahin proposed the movement in the category of substance by proposing the theory of substance movement. But he, like other philosophers, did not accept the movement in other categories, especially in categories whose individuals are gradually ...
Abdollah Nasri, Zeynab Yousofzadeh
doaj +1 more source
The role of miR‐335‐5p in the redifferentiation of BRAF p.V600E thyroid cancers
The BRAF p.V600E mutation promotes thyroid cancer dedifferentiation and radioiodine resistance. Using a network approach, we identified miR‐335‐5p as a key regulator of BRAF‐mutated thyroid tumors. Restoring miR‐335‐5p increased thyroid‐specific gene expression and iodine uptake in cells and organoids.
Valeria Pecce +11 more
wiley +1 more source
Heteroclinic orbits of a second order nonlinear difference equation
This article concerns a second-order nonlinear difference equation. By using critical point theory, the existence of two heteroclinic orbits is obtained. The main method used is variational.
Haiping Shi, Xia Liu, Tao Zhou
doaj
Critical Point Theory for the Lorentz Force Equation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Arcoya +2 more
openaire +3 more sources
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Applications of Local Linking to Critical Point Theory
Let \(f\in C^1 (X, \mathbb{R})\) satisfy a local linking condition at 0, i.e. the Banach space \(X\) splits as \(X= X^1 \oplus X^2\), \(f(u) \geq 0\) for \(u\in X^1\), \(|u|\leq r\), and \(f(u)\leq 0\) for \(u\in X^2\), \(|u|\leq r\); for some \(r>0\).
Li, S.J., Willem, M.
openaire +2 more sources

