Results 91 to 100 of about 469,372 (283)
Existence of nontrivial solutions for a class of elliptic systems
Electronic Journal of Differential Equations, 2013 Using a version of the generalized mountain pass theorem, we obtain the existence of nontrivial solutions for a class of superquadratic elliptic systems.
Chun Li, Zeng-Qi Ou, Chun-Lei Tang
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Critical point theorem for asymptotically quadratic functional without compactness
Journal of Mathematical Analysis and Applications, 2010 The main result of the present paper establishes an abstract critical point theorem for asymptotically quadratic functionals with lack of compactness. The proof follows after a careful analysis of Morse indices of critical points, combined with an adequate penalization technique.
Liang, Zhanping, Su, Jiabao
openaire +2 more sources
Advanced Electronic Materials, EarlyView.Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
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MathematicsIn this paper, we study the topology of steady gradient Ricci solitons with nonnegative sectional curvature. We apply a characterization theorem for the fundamental group of a positively curved steady gradient Ricci soliton that admits a critical point ...
Yuehan Hao
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Multiple Solutions for Degenerate Elliptic Systems Near Resonance at Higher Eigenvalues
Abstract and Applied Analysis, 2012 We study the degenerate semilinear elliptic systems of the form -div(h1(x)∇u)=λ(a(x)u+b(x)v)+Fu(x,u,v),x∈Ω,-div(h2(x)∇v)=λ(d(x)v+b(x)u)+Fv(x,u,v),x∈Ω,u|∂Ω=v|∂Ω=0, where Ω⊂RN(N≥2) is an open bounded domain with smooth boundary ∂Ω, the measurable ...
Yu-Cheng An, Hong-Min Suo
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Advanced Energy Materials, EarlyView.In this work, we developed a phase‐stability predictor by combining machine learning and ab initio thermodynamics approaches, and identified the key factors determining the favorable phase for a given composition. Specifically, a lower TM ionic potential, higher Na content, and higher mixing entropy favor the O3 phase.
Liang‐Ting Wu +6 more
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Fast homoclinic solutions for damped vibration problems with superquadratic potentials
Boundary Value Problems, 2018 In this paper we investigate the existence and multiplicity of homoclinic solutions for the following damped vibration problem: DS u¨+q(t)u˙−L(t)u+Wu(t,u)=0, $$ \ddot{u}+q(t) \dot{u}-L(t)u+W_{u}(t,u)=0, $$ where q:R→R $q:\mathbb{R}\rightarrow\mathbb{R ...
Xinhe Zhu, Ziheng Zhang
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Agribusiness, EarlyView.ABSTRACT The US hemp market is a new and nascent industry that has been devoid of research for about half a century. This study examined the effects of exogenous shock on price at each phase of the value chain—Farm (hemp biomass), and its impact on prices at other phases of the value chain—Intermediary Processor (crude cannabidiol hemp) and Final ...
Solomon Odiase +2 more
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Le Matematiche, 2012 In this paper, we prove the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems involving the (p_1, . . . , p_n )-Laplacian. The approach is based on a recent three critical points theorem obtained by B. Ricceri [9].
Nguyen Thanh Chung +2 more
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Homoclinic orbits for a class of $p$-Laplacian systems with periodic assumption
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, by using a linking theorem, some new existence criteria of homoclinic orbits are obtained for the $p$-Laplacian system $d(|\dot{u}(t)|^{p-2}\dot{u}(t))/dt+\nabla V(t,x)=f(t)$, where $p>1$, $V(t,x)=-K(t,x)+W(t,x)$.
Xingyong Zhang
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