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EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS [PDF]
Glasgow Mathematical Journal, 2012 AbstractWe study the following nonlinear Dirichlet boundary value problem: where Ω is a bounded domain in ℝN(N ≥ 2) with a smooth boundary ∂Ω and g ∈ C(Ω × ℝ) is a function satisfying $\displaystyle \underset{|t|\rightarrow 0}{\lim}\frac{g(x, t)}{t}= \infty$ for all x ∈ Ω.
Zhong, Xuexiu, Zou, W.
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Infinitely many periodic solutions for anisotropic φ-Laplacian systems
Differential Equations & Applications, 2022 Summary: In this paper, we study existence of periodic solutions for an anisotropic differential operator via the minimax methods in critical point theory. Concretely, we consider a \(\Phi\) Laplacian operator and we extend and generalize known results obtained in the isotropic setting given by a \(\Phi\)-Laplacian system.
Acinas, Sonia, Mazzone, Fernando
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Infinitely many positive solutions for a double phase problem
Boundary Value Problems, 2020 This paper is concerned with the existence of infinitely many positive solutions to a class of double phase problem. By variational methods and the theory of the Musielak–Orlicz–Sobolev space, we establish the existence of infinitely many positive ...
Bei-Lei Zhang, Bin Ge, Gang-Ling Hou
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Infinitely many solutions for a perturbed Schrödinger equation
Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOLO, Rossella +2 more
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CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3
Molecular Oncology, EarlyView.PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh +12 more
wiley +1 more source
Ground state solutions and infinitely many solutions for a nonlinear Choquard equation
Boundary Value Problems, 2021 In this paper we study the existence and multiplicity of solutions for the following nonlinear Choquard equation: − Δ u + V ( x ) u = [ | x | − μ ∗ | u | p ] | u | p − 2 u , x ∈ R N , $$\begin{aligned} -\Delta u+V(x)u=\bigl[ \vert x \vert ^{-\mu }\ast ...
Tianfang Wang, Wen Zhang
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Promiscuous stimulation of HSP70 ATPase activity by parasite‐derived J‐domains
FEBS Open Bio, EarlyView.The malaria parasite Plasmodium falciparum exports three highly homologous yet functionally divergent J‐domain proteins into human erythrocytes. Here, we show that J‐domains isolated from all three proteins effectively stimulate the ATPase activity of both endogenous host and exported parasite HSP70 chaperones.
Julian Barth +6 more
wiley +1 more source
FEBS Open Bio, EarlyView.Amino acids sequence of two different proteins with the same sequence (chameleon sequence—black boxes) represent in 3D structure of the proteins different secondary structures: HHHH—helical and BBB—Beta‐structural. The chains folded in water environment adopt different III‐order structures in which the chameleon fragments appear to adopt similar status
Irena Roterman +4 more
wiley +1 more source
Infinitely many cyclic solutions to the Hamilton-Waterloo problem with odd length cycles
, 2016 It is conjectured that for every pair $(\ell,m)$ of odd integers greater than 2 with $m \equiv 1\; \pmod{\ell}$, there exists a cyclic two-factorization of $K_{\ell m}$ having exactly $(m-1)/2$ factors of type $\ell^m$ and all the others of type $m^{\ell}
Merola, Francesca, Traetta, Tommaso
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Why human connection is the true metric of research success
FEBS Open Bio, EarlyView.Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
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