Results 71 to 80 of about 946,958 (320)

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

open access: yesJournal of Inequalities and Applications, 2019
In the paper, we consider the following hemivariational inequality problem involving the fractional Laplacian: {(−Δ)su+λu∈α(x)∂F(x,u)x∈Ω,u=0x∈RN∖Ω, $$ \textstyle\begin{cases} (-\Delta )^{s}u+\lambda u\in \alpha (x) \partial F(x,u) & x \in \varOmega ...
Lijing Xi, Yuying Zhou
doaj   +1 more source

Block Copolymers: Emerging Building Blocks for Additive Manufacturing

open access: yesAdvanced Functional Materials, EarlyView.
This review addresses how block copolymer (BCP) physics and rheology have led to the widespread use of BCPs in advanced additive manufacturing techniques, with particular emphasis on the untapped potential of these nanostructured materials toward achieving multi‐scale architected materials with unique, programmable material properties.
Alice S. Fergerson   +3 more
wiley   +1 more source

Analysis of an elliptic system with infinitely many solutions

open access: yesAdvances in Nonlinear Analysis, 2017
We consider the elliptic system Δ⁢u=up⁢vq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δ⁢v=ur⁢vs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂⁡u/∂⁡η=λ⁢u${{\partial u/\partial\eta}=\lambda u}$, ∂⁡
Cortázar Carmen   +2 more
doaj   +1 more source

Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of ...
Vincenzo Ambrosio   +2 more
doaj   +1 more source

Chiral SURMOFs for Vibrational Circular Dichroism: Multiscale Modeling and Experimental Insights

open access: yesAdvanced Functional Materials, EarlyView.
The use of solid‐state vibrational circular dichroism (VCD) for MOFs is still somewhat unexplored, and in this work, it is shown that chiral surface‐anchored MOFs (SURMOFs) grown on CaF2 provide an excellent platform for VCD. Experimental results are validated through multiscale modeling, showing strong agreement across multiple spectroscopic ...
Ana C. Fingolo   +9 more
wiley   +1 more source

Infinitely many solutions for non-local problems with broken symmetry

open access: yesAdvances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella   +2 more
doaj   +1 more source

High Entropy Wide‐Bandgap Borates with Broadband Luminescence and Large Nonlinear Optical properties

open access: yesAdvanced Functional Materials, EarlyView.
High‐entropy rare‐earth borates exhibit excellent nonlinear optical and broadband luminescence properties arising from multi‐component doping, chemical disorder, increased configurational entropy, and increased lattice and electronic anharmonicity. This formulation enabled us to obtain a large, environmentally stable single crystal with 3X higher laser‐
Saugata Sarker   +14 more
wiley   +1 more source

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