Results 21 to 30 of about 2,153,662 (184)

Divergent sequence of nontrivial solutions for superlinear double phase problems [PDF]

, 2023
We consider a double phase (unbalanced growth) Dirichlet problem with a Carathéodory reaction f(z ,x) which is superlinear in x but without satisfying the AR-condition.
Vetro F., Papageorgiou N. S., Vetro C.
core   +1 more source

Superlinear Robin problems with indefinite linear part [PDF]

, 2018
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools we prove two theorems.
Papageorgiou, N. S., Gasiński, L.
core   +2 more sources

Superlinear Robin Problems with Indefinite Linear Part [PDF]

, 2020
We consider a semilinear Robin problem with an indefinite linear part and a superlinear reaction term, which does not satisfy the usual in such cases AR condition.
Papageorgiou, Nikolaos S., Vetro, Calogero, Vetro, Francesca   +2 more
core   +1 more source

Catalytic Luminescent Polymer Micromotors With Shape‐Programmed Motion [PDF]

Advanced science
A Janus micromotor is designed with an SiO2/Ti/ITO/PFN‐Br/Pt heterostructure with an engineered energy level. The ITO conductive interlayer facilitates efficient charge separation, generating interfacial electric fields and ionic gradients for enhanced light‐driven propulsion.
Zhang Y, Huang W, Gao X, He Y, Huang F, Yu T.   +5 more
europepmc   +2 more sources

Deterministic Nucleation of Nanocrystal Superlattices on 2D Perovskites for Light-Funneling Heterostructures. [PDF]

Adv Mater
This work investigates the heterogeneous nucleation of CsPbBr3${\rm CsPbBr}_3$ nanocrystal superlattices along the faces of 2D PEA2PbBr4${\rm PEA}_2{\rm PbBr}_4$ layered perovskite microcrystals. Core–crown and core–shell heterostructure morphologies are obtained.
Filippi U, Schleusener A, Lauciello S, Krahne R, Baranov D, Manna L, Kuno M.   +6 more
europepmc   +2 more sources

Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain

Transactions of the American Mathematical Society, 2022
We describe sufficient conditions on the reaction terms and multiplicative noise terms of a stochastic reaction-diffusion equation that guarantee that the solutions never explode. Both the reaction term and multiplicative noise terms are allowed to grow superlinearly.
openaire   +3 more sources

Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity

Journal of Differential Equations, 2022
accepted for publication in ...
Agresti, Antonio, Veraar, Mark
openaire   +6 more sources

Three nontrivial solutions for nonlinear fractional Laplacian equations

Advances in Nonlinear Analysis, 2018
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze, Iannizzotto Antonio   +1 more
doaj   +1 more source

Positive solutions for nonparametric anisotropic singular solutions [PDF]

Opuscula Mathematica
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Xueying Sun   +2 more
doaj   +1 more source

Ground states of Nehari-Pohožaev type for a quasilinear Schrödinger system with superlinear reaction

Electronic Research Archive, 2023
<abstract><p>This article is devoted to study the following quasilinear Schrödinger system with super-quadratic condition:</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \left\{\begin{matrix} -\Delta u+V_{1}(x)u-\Delta (u^{2})u = h(u,v),\ x\in \mathbb{R}^{N},\\ -\Delta v+
Yixuan Wang, Xianjiu Huang
openaire   +2 more sources