Results 81 to 90 of about 216,697 (310)

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

Electronic 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, Alessio Fiscella, Teresa Isernia   +2 more
doaj   +1 more source

Existence of infinitely many solutions for sublinear elliptic problems

Journal of Mathematical Analysis and Applications, 2003
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openaire   +3 more sources

Quasi‐Periodic Surface Functionalization by Ultra‐Short Pulsed Laser Processing: Unlocking Superior Heat Transfer in Vapor Chambers

Advanced Functional Materials, EarlyView.
Ultra‐short pulsed laser processing (ULSP) enables scalable, open‐air fabrication of self‐organized, quasi‐periodic micro/nanostructures on copper using 100 µm laser beams, orders of magnitude larger than the resulting surface features. Integrated into ultra‐thin, wick‐free vapor chambers, these laser‐functionalized surfaces dramatically enhance ...
Anish Pal, Arani Mukhopadhyay, Graham Kaufman, Suchit Sarin, Jeffrey E. Shield, George Gogos, Craig Zuhlke, Constantine M. Megaridis   +7 more
wiley   +1 more source

Infinitely many solutions for a fourth-order boundary-value problem

Electronic Journal of Differential Equations, 2012
In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem $$displaylines{ u^{iv}+alpha u''+eta(x) u=lambda f(x,u)+h(u),quad xin]0,1[cr u(0)=u(1)=0,cr u''(0)=u''(1)=0,.
Seyyed Mohsen Khalkhali, Shapour Heidarkhani, Abdolrahman Razani   +2 more
doaj  

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

Journal 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

Magnetic‐Field Tuning of the Spin Dynamics in the Quasi‐2D Van der Waals Antiferromagnet CuCrP2S6

Advanced Functional Materials, EarlyView.
This study reveals 2D character of the spin dynamics in CuCrP2S6, as well as complex field dependence of collective excitations in the antiferromagnetically ordered state. Their remarkable tuning from the antiferromagnetic to the ferromagnetic type with magnetic field, together with the non‐degeneracy of the magnon gaps favorable for the induction of ...
Joyal John Abraham, Yaqian Guo, Yuliia Shemerliuk, Sebastian Selter, Saicharan Aswartham, Kranthi Kumar Bestha, Laura T. Corredor, Anja U. B. Wolter, Olga Kataeva, Luka Rogić, Noah Somun, Damjan Pelc, Oleg Janson, Jeroen van den Brink, Bernd Büchner, Vladislav Kataev, Alexey Alfonsov   +16 more
wiley   +1 more source

Infinitely many solutions for non-local problems with broken symmetry

Advances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella, De Nápoli Pablo L., Salvatore Addolorata   +2 more
doaj   +1 more source

Infinitely many entire solutions of an elliptic system with symmetry

Topological Methods in Nonlinear Analysis, 1997
The author proves two theorems on the existence of infinitely many solutions of the elliptic system \[ -\Delta u + q(x)u = H_v(x,u,v), \qquad -\Delta v + q(x)v = H_u(x,u,v) \] for \(x \in \mathbb R^N\). In the first theorem \(H\) is superquadratic in \(z=(u,v)\), in the second theorem \(H\) is subquadratic. In both theorems \(H\) is even in \(z\) and \(
openaire   +4 more sources

Stochastically Generated Digital Twins of 3D Solid‐State Electrolyte Architecture

Advanced Functional Materials, EarlyView.
Digital Twins of random porous tape‐cast solid‐state battery architectures across µm to mm feature sizes from FIB‐SEM to X‐Ray µCT, respectively. Abstract Solid‐state lithium batteries (SSBs) have the potential to overcome conventional Li‐ion batteries in performance and safety.
Jonathan O'Neill, Tanner Hamann, Keith Duncan, Eric Wachsman   +3 more
wiley   +1 more source

Infinitely many weak solutions for a mixed boundary value system with $(p_1,...p_m)$-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations, 2014
The aim of this paper is to prove the existence of infinitely many weak solutions for a mixed boundary value system with $(p_1,\dots,p_m)$-Laplacian. The approach is based on variational methods.
Diego Averna, Elisabetta Tornatore
doaj   +1 more source