Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian
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
Infinitely many solutions for double phase problem with unbounded potential in RN
Robert Stegliński
semanticscholar +1 more source
Block Copolymers: Emerging Building Blocks for Additive Manufacturing
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
We consider the elliptic system Δu=upvq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δv=urvs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂u/∂η=λu${{\partial u/\partial\eta}=\lambda u}$, ∂
Cortázar Carmen +2 more
doaj +1 more source
Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems
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
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
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
Infinitely Many Small Energy Solutions to the Double Phase Anisotropic Variational Problems Involving Variable Exponent [PDF]
Junhyuk Ahn, Yun-Ho Kim
openalex +1 more source
High Entropy Wide‐Bandgap Borates with Broadband Luminescence and Large Nonlinear Optical properties
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

