Results 1 to 10 of about 87,152,843 (234)

On the growth of positive entire solutions of elliptic PDEs and their gradients

Discrete and Continuous Dynamical Systems - S, 2014
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Antonio Vitolo
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Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients

Networks & Heterogeneous Media, 2010
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear parabolic PDE with random coefficients does not admit a global nonnegative stationary solution, which implies that an interface that was flat originally cannot get stationary ...
Coville, Jérôme, Dirr, Nicolas, Luckhaus, Stephan   +2 more
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Minimal positive solutions for systems of semilinear elliptic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
The paper is devoted to a system of nonlinear PDEs containing gradient terms. Applying the approach based on Sattinger's iteration procedure we use sub and supersolutions methods to prove the existence of positive solutions with minimal growth.
Aleksandra Orpel
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Existence and multiplicity of positive solutions for classes of singular elliptic PDEs

Journal of Mathematical Analysis and Applications, 2009
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Chhetri, Maya, Robinson, Stephen B.
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Comparative Assessment of Nonlocal Continuum Solvent Models Exhibiting Overscreening

Computational and Mathematical Biophysics, 2017
Nonlocal continua have been proposed to offer a more realistic model for the electrostatic response of solutions such as the electrolyte solvents prominent in biology and electrochemistry. In this work, we review three nonlocal models based on the Landau-
Ren Baihua, Bardhan Jaydeep P.
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Numerical comparison of nonlinear thermal radiation and chemically reactive bio-convection flow of Casson-Carreau nano-liquid with gyro-tactic microorganisms: Lie group theoretic approach

Heliyon
The current research presents a mathematical model to study the flow of a non-Newtonian magnetohydrodynamics (MHD) Casson-Carreau nanofluid (CCNF) over a stretching porous surface, considering mass and heat transport rates with Stefan blowing, non-linear
Musharafa Saleem, Majid Hussain
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Rumor Propagation in Multilingual Environments and Stochastic Dynamics: A Modeling Study Based on Age Structure and Isolation Intervention

Systems
This paper investigates rumor dissemination dynamics with generalized nonlinear incidence in multilingual environments. We propose a novel stochastic modeling framework that integrates age structure, mandatory isolation mechanisms, and media intervention.
Tingting Zhou, Shuzhen Yu, Zhiyong Yu, Haijun Jiang   +3 more
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Positive Solutions for Dirichlet BVP of PDE Involving \({\varphi_{p}}\)-Laplacian

Fractal and Fractional
In this paper, we investigate the existence of infinitely many small solutions for problem (fφp) involving φp-Laplacian by exploiting critical point theory. Moreover, the present study first attempts to address discrete Dirichlet problems with φp-Laplacian in relation to some relative existing references. As far as we know, this research of the partial
Xiong, Feng, Huang, Wentao
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Impacts of binary chemical reaction with activation energy on MHD thermally radiating blood based hybrid nanofluid flow through shrinking-stenotic artery: Entropy generation and stability analysis

Hybrid Advances
This study investigates numerically the heat and mass transport with entropy generation of MHD human blood as a hybrid nanofluid at the surface of a porous stenotic shrinking artery in the presence of velocity slip and convective boundary conditions ...
Gopinath Mandal, Dulal Pal
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Existence of weak positive solutions to a nonlinear PDE system around a triple phase boundary, coupling domain and boundary variables

Journal of Mathematical Analysis and Applications, 2011
The authors show the existence of a positive, bounded weak solution for a system of partial differential equations having a physical origin. The specific character of this system is the coupling of a variable satisfying a partial differential equation in the domain with a variable satisfying a differential equation on the boundary.
Al-arydah, Moʼtassem, Novruzi, Arian
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