Results 11 to 20 of about 667 (175)

Instability of energy solutions, travelling waves, and scaling invariance for a fourth-order p-Laplacian operator with superlinear reaction [PDF]

Electronic Journal of Differential Equations
This analysis explores the oscillatory behavior of  traveling wave solutions for a higher-order p-Laplacian operator with  a superlinear reaction term. The study employs an energy-based approach,  incorporating generalized Sobolev spaces to examine relevant properties  of the solutions, including oscillations, diffusive mollification,  and compact ...
Jose Luis Diaz Palencia
doaj   +4 more sources

Robin problems with a general potential and a superlinear reaction

Journal of Differential Equations, 2017
We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš   +2 more
openaire   +5 more sources

A multiplicity theorem for parametric superlinear (p,q)-equations [PDF]

Opuscula Mathematica, 2020
We consider a parametric nonlinear Robin problem driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation). The reaction term is \((p-1)\)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition.
Florin-Iulian Onete, Nikolaos S. Papageorgiou, Calogero Vetro   +2 more
doaj   +4 more sources

The Effect of Varying Coefficients on the Dynamics of a Class of Superlinear Indefinite Reaction–Diffusion Equations

Journal of Differential Equations, 2000
The paper deals with the analysis of the structure of the set of positive solutions of \[ -\Delta u=\lambda u-a(x)|u^p|u\quad \text{in }\Omega,\qquad u|_{\partial\Omega}=0, \] where \(\Omega\) is a bounded \(C^2\) domain of \({\mathbb R}^n\), \( N\geq 1,\) \(\lambda \in {\mathbb R}\) is regarded as a continuation parameter and \(p\in (0,\infty).\) The ...
Gómez-Reñasco, R., López-Gómez, J.
openaire   +3 more sources

Controllability results for weakly blowing up reaction-diffusion system [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, we consider the controllability of a general reaction-diffusion system with homogeneous Dirichlet boundary conditions. We prove the exact controllability to the trajectories and the approximate controllability of the system which contains ...
Qiang Tao, Hang Gao, Ying Yang
doaj   +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 [PDF]

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.
Salins, Michael
openaire   +4 more sources

Drivers and Consequences of Size Declines in Unicells. [PDF]

Ecol Lett
Previous syntheses concluded that metabolic allometric scaling is unusually steep (> 1) in unicells but here we show that this steepness is an artefact of laboratory studies that confound cell size with cell population density. Once this density effect is accounted for, metabolic scaling is ~0.86 in unicells.
Marshall DJ, Cameron HE, Abe A, Leles SG, White CR, Delong J.   +5 more
europepmc   +2 more sources

Analysis and simulation of radially symmetric solutions for free boundary problems with superlinear reaction term

Electronic Journal of Differential Equations, 2016
This article concerns with the solution to a heat equation with a free boundary in n-dimensional space. By applying the energy inequality to the solutions that depend not only on the initial value but also on the dimension of space, we derive the ...
Qunying Zhang, Jing Ge, Zhigui Lin
doaj   +2 more sources

Large Deviation Principle for Stochastic Reaction–Diffusion Equations with Superlinear Drift on $$\mathbb {R}$$ Driven by Space–Time White Noise

Journal of Theoretical Probability
In this paper, we consider stochastic reaction-diffusion equations with super-linear drift on the real line $\mathbb{R}$ driven by space-time white noise. A Freidlin-Wentzell large deviation principle is established by a modified weak convergence method on the space $C([0,T], C_{tem}(\mathbb{R}))$. Obtaining the main result in this paper is challenging
Jianliang Zhai, Zhai Jianliang
exaly   +3 more sources

Circularly Polarized Polariton Lasing from Spin-Momentum Locking in Deformed Plasmonic Kagome Cavities. [PDF]

Adv Mater
This paper describes room‐temperature polariton lasing with high circular polarization from deformed plasmonic Kagome lattice cavities strongly coupled to colloidal CdSe nanoplatelets. Spin‐selectivity from cavity modes resulted in control over the handedness of circular polarization as well as the direction of polariton lasing, opening prospects for ...
Zheng Z, Hong C, Khorasani S, Patel SK, Bourgeois MR, Masiello DJ, Odom TW.   +6 more
europepmc   +2 more sources