Results 81 to 90 of about 2,722,864 (361)
Ground state solutions to nonlinear equations with p-Laplacian
Nonlinear Analysis, 2019 Ground state solutions are solutions \( u \) of some kind of equations such as the equation \[ \operatorname{div} (r(x)\left|\nabla u\right|^{p-2}\nabla u )+ q(x) F(u) = 0, p > 1,x\in \mathbb{R}^d, \] which are positive, minimize a certain energy functional, and satisfy \(\lim_{|x|\to\infty} u(x) = 0.\) In this paper the authors investigate the ...
Zuzana Došlá, Serena Matucci
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Ground state solutions for an asymptotically 2-linear Schrödinger-Poisson system
Applied Mathematics Letters, 2019 In this paper, we study the following Schrodinger–Poissonsystem − Δ u + u + ϕ u = g ( u ) , in R 3 , − Δ ϕ = u 2 , in R 3 , where g is a continuous function and superlinear at zero, and g ( t ) t ≥ 3 G ( t ) ≥ 0 with G ( t ) = ∫ 0 t g ( s ) d s , t ∈ R .
Li Yin, Xing-Ping Wu, Chunlei Tang
semanticscholar +1 more source
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
Ground state solutions for non-local fractional Schrodinger equations
Electronic Journal of Differential Equations, 2015 In this article, we study a time-independent fractional Schrodinger equation with non-local (regional) diffusion $$ (-\Delta)^{\alpha}_{\rho}u + V(x)u = f(x,u) \quad \text{in }\mathbb{R}^{N}, $$ where $\alpha \in (0,1)$, $N > 2\alpha$.
Yang Pu, Jiu Liu, Chun-Lei Tang
doaj
Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian
Advances in Difference Equations, 2018 We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet ...
Taiyong Chen, Wenbin Liu
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Relation between the density-matrix theory and the pairing theory
, 2004 The time-dependent density-matrix theory (TDDM) gives a correlated ground state as a stationary solution of the time-dependent equations for one-body and two-body density matrices.
Takahara, Satoshi, Tohyama, Mitsuru
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Non-radial ground state solutions for fractional Schrödinger–Poisson systems in R2 [PDF]
, 2023 Guofeng Che, Juntao Sun, Tsung‐fang Wu
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Discrete and Continuous Dynamical Systems. Series A, 2019 It is shown that the planar Schrodinger-Poisson system with a general nonlinear interaction function has a nontrivial solution of mountain-pass type and a ground state solution of Nehari-Pohozaev type.
Sitong Chen, Junping Shi, Xianhua Tang
semanticscholar +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
Boundary Value ProblemsBy using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions ...
Xin Ou, Xingyong Zhang
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