Results 61 to 70 of about 502 (154)
Advances in Nonlinear Analysis, 2021 We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coefficients have a “butterfly support”: this allows
Leonardi Salvatore +3 more
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On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces
Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc +2 more
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A quasilinear singular elliptic system without cooperative structure
, 2014 International audienceIn this article, we investigate the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required.
Dumitru MOTREANU +3 more
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On nonnegative radial entire solutions of second order quasilinear elliptic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this article we consider the second order quasilinear elliptic system of the form $$\Delta_{p_i} u_i=H_i(|x|)u_{i+1}^{\alpha_i}, x\in \mathbb{R}^N, i=1,2,...,m$$ with nonnegative continuous function $H_i$.
T. Teramoto
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Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
Advanced Nonlinear Studies, 2023 This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
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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
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A Probabilistic Model for Global EMIC Wave Activity Using Van Allen Probes Observations
Earth and Space Science, Volume 12, Issue 11, November 2025.Abstract Electromagnetic ion cyclotron (EMIC) waves play a key role in radiation belt dynamics through resonant interactions. However, their low occurrence probability, high variability, and spatial intermittency pose challenges for accurate modeling.
Sung Jun Noh +3 more
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, 2020 In this article we consider the a posteriori error analysis of hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem of strongly monotone type.
Wihler, Thomas P +3 more
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Quasilinear Wave‐Particle Analysis in the Source Region of Jovian Kilometric Radio Emission
Journal of Geophysical Research: Space Physics, Volume 130, Issue 11, November 2025.Abstract Jovian broadband kilometric emission (bKOM) is observed by the Juno spacecraft within a source region in the northern hemisphere near the equatorward edge of the auroral oval. A well‐developed upward loss cone is the free‐energy source of the bKOM.
P. H. Yoon +7 more
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Muskat–Leverett Two‐Phase Flow in Thin Cylindric Porous Media: Asymptotic Approach
Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.ABSTRACT A reduced‐dimensional asymptotic modeling approach is presented for the analysis of two‐phase flow in a thin cylinder with an aperture of order O(ε)$\mathcal {O}(\varepsilon)$, where ε$\varepsilon$ is a small positive parameter. We consider a nonlinear Muskat–Leverett two‐phase flow model expressed in terms of a fractional flow formulation and
Taras Mel'nyk, Christian Rohde
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