Results 101 to 110 of about 12,047 (285)
Infinitely many solutions for Hamiltonian system with critical growth
Advances in Nonlinear AnalysisIn this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
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Inverse Design of Amorphous Materials With Targeted Properties
Advanced Materials, EarlyView.AMDEN is a diffusion model framework for the inverse design of amorphous materials with targeted properties. By incorporating Hamiltonian Monte Carlo refinement into the denoising process, the framework overcomes the challenge of generating thermally relaxed disordered structures.
Jonas A. Finkler +4 more
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Infinitely many positive solutions for a p(x)-Kirchhoff-type equation
, 2009 This paper is concerned with the existence of infinitely many positive solutions to a class of p(x)-Kirchhoff-type problem. By means of a direct variational approach and the theory of the variable exponent Sobolev spaces, we establish the existence of ...
Dai, Guowei +3 more
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Infinitely many radial solutions of an elliptic system [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1987 We consider a system of equations of the form Δu + ∇F(u) = 0 . In this and two subsequent papers we find conditions on F(u) to guarantee that this system has infinitely many radial solutions.
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Advanced Materials, EarlyView.A hierarchically structured metal–organic framework (eMIL) is shown to host the complete six‐enzyme biosynthesis pathway for the anti‐cancer pigment violacein, reshaping reaction dynamics and multiplying in vitro yields. eMIL nanoreactors deliver this reconstituted bacterial multi‐protein system into mammalian cells, where cell‐derived substrates and ...
Ainur Sharip +12 more
wiley +1 more source
Infinitely many solutions for Kirchhoff type problems [PDF]
Differential Equations & Applications, 2013 This paper is devoted to the study of infinitely many solutions for a class of Kirchhoff type problems on a bounded domain. Based on the Fountain Theorem of Bartsch, we obtain the multiplicity results, which unify and sharply improve the recent results of He and Zou [X. He, W.
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Dexime: A Selectively Enzyme‐Degradable Hydrogel for Protein Therapeutic Release
Advanced Materials, EarlyView.A dextrin‐oxime hydrogel (dexime) is produced using ketone or aldehyde modified dextrin and tetra‐oxyamine modified poly(ethylene glycol). The rheological and mechanical properties of dexime are tunable. Dexime is injectable, cytocompatible, hydrolytically stable, and selectively degradable by α‐amylase.
Quinton E. A. Sirianni +5 more
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Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations
Abstract and Applied Analysis, 2013 Several new existence theorems on positive, negative, and sign-changing solutions for the following fourth-order beam equation are obtained: u(4)=f(t,u(t)), t∈[0,1]; u(0)=u(1)=u′′(0)=u′′(1)=0, where f∈C([0,1]×ℝ1,ℝ1).
Ying Wu, Guodong Han
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Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian
, 2018 This paper deals with the existence of infinitely many solutions for a class of impulsive fractional boundary value problems with p-Laplacian. Based on a variant fountain theorem, the existence of infinitely many nontrivial high or small energy solutions
Yujun Cui, Yang Wang, Yansheng Liu
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Infinitely many solutions for resonance elliptic systems
Comptes Rendus. Mathématique, 2014 In this note, we study a class of resonance gradient elliptic systems and obtain infinitely many nontrivial solutions by using critical point theory.
Li, Lin, Tang, Chun-Lei
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