Results 51 to 60 of about 3,645 (122)

Compactness and existence results in weighted Sobolev spaces of radial functions. Part II: Existence

, 2015
We prove existence and multiplicity results for finite energy solutions to the nonlinear elliptic equation \[ -\triangle u+V\left( \left| x\right| \right) u=g\left( \left| x\right| ,u\right) \quad \textrm{in }\Omega \subseteq \mathbb{R}^{N},\ N\geq 3, \]
A. Ambrosetti, A. Ambrosetti, A. Floer, C.O. Alves, D. Bonheure, D.C. Clark, F. Catrina, G. Zhang, H. Berestycki, H.P. Heinz, J. Su, J. Su, M. Badiale, M. Badiale, M. Badiale, M. Badiale, Marino Badiale, Michela Guida, P.C. Fife, P.H. Rabinowitz, R.S. Palais, S. Chen, Sergio Rolando, V. Benci, W.A. Strauss, Y. Deng, Z.Q. Wang   +26 more
core   +1 more source

Graded Plasmonic Metagratings for Directional Nonlinear Optical Sensing

Advanced Optical Materials, Volume 13, Issue 35, December 12, 2025.
A refractometric sensing approach is presented, based on the angular variation of the emission pattern while changing the local environment. This method is first demonstrated on rectangular arrays, then on an aperiodic metagrating configuration designed to shape the first diffraction orders into a broadened band. Abstract Plasmon‐enhanced sensing based
Augustin Verneuil, Attilio Zilli, Cyrille Vézy, Jérémie Béal, Marco Finazzi, Michele Celebrano, Anne‐Laure Baudrion   +6 more
wiley   +1 more source

On a diffusion model with absorption and production

, 2016
We discuss the structure of radial solutions of some superlinear elliptic equations which model diffusion phenomena when both absorption and production are present. We focus our attention on solutions defined in R (regular) or in R \ {0} (singular) which
Alarcon, Andrea Sfecci, Bae, Bae, Battelli, Bianchi, Bidaut-Véron, Bonheure, Cac, Capietto, Coddington, Cîrstea, Dalbono, Deng, Ding, Dosla, Felli, Felli, Ferrero, Fowler, Franca, Franca, Franca, Franca, Franca, Gidas, Johnson, Johnson, Johnson, Jones, Li, Marini, Matteo Franca, Matucci, Moroz, Murray, Murray, Pohozaev, Terracini, Wang, Yanagida   +40 more
core   +1 more source

Manifestation of Light‐ and Elevated‐Temperature‐Induced Degradation in n‐Type Silicon: Initial Lifetime Improvement Due to Temporary Recovery

physica status solidi (a), Volume 222, Issue 24, December 2025.
The presence of light‐ and elevated‐temperature‐induced degradation (LeTID) defects after the fast‐firing step is observed in n‐type silicon by demonstrating the existence of the temporary recovery (TR), the reverse reaction to LeTID, alongside TR's unique properties.
Benjamin Hammann, Wolfram Kwapil, Jörg Horzel, Florian Schindler, Martin C. Schubert   +4 more
wiley   +1 more source

Perturbations of nonlinear eigenvalue problems

, 2018
We consider perturbations of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator plus an indefinite potential. We consider both sublinear and superlinear perturbations and we determine how the set of positive solutions changes ...
Papageorgiou, Nikolaos S., Repovš, Dušan D., Rădulescu, Vicenţiu D.   +2 more
core   +2 more sources

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

Global multiplicity of positive solutions for anisotropic $(p,q)$-Robin boundary value problems with an indefinite potential term

Electronic Journal of Qualitative Theory of Differential Equations
We consider a nonlinear Robin problem driven by the anisotropic $(p,q)$-Laplacian plus an indefinite potential term. In the reaction, we have the competing effects of a parametric concave (sublinear) term perturbed by a superlinear one (concave-convex ...
Eylem Öztürk, Nikolaos Papageorgiou
doaj   +1 more source

Multiple positive solutions for a superlinear problem: a topological approach

, 2015
We study the multiplicity of positive solutions for a two-point boundary value problem associated to the nonlinear second order equation $u''+f(x,u)=0$.
Feltrin, Guglielmo, Zanolin, Fabio
core   +1 more source

Low‐Cost WS2 Photodetector on Water‐Soluble Paper for Transient Electronics

Advanced Functional Materials, Volume 35, Issue 44, October 29, 2025.
This study presents a transient WS2 photodetector fabricated on water‐soluble paper using simple mechanical abrasion and pencil drawing. The device demonstrates reliable photoresponse and mechanical flexibility. It dissolves in water within seconds after use, enabling material recovery and reuse.
Gulsum Ersu, Luke Doolan, Thomas Pucher, Jonathan N. Coleman, Andres Castellanos‐Gomez   +4 more
wiley   +1 more source

Complex Response Function of Magnetic Resonance Spectrometers

, 2002
A vectorial analysis of magnetic resonance spectrometers, based on traveling wave resonators and including the reference arm and the automatic control of frequency, has been developed.
Annino, Annino, Annino, Atwater, Baba, Ehrenfest, Feher, G Annino, Giordano, Hill, M Cassettari, M Fittipaldi, M Martinelli, Mola, Muraguchi, Papas, Rowland, Tobar, Wilmshurst, Yu   +19 more
core   +1 more source