Results 51 to 60 of about 14,416 (203)
, 2013 In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert +2 more
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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
wiley +1 more source
Existence of a renormalized solution to a nonlinear elliptic equation with L1-data in the space Rn
Современная математика: Фундаментальные направленияWe consider a second-order quasilinear elliptic equation with an integrable right-hand side in the space Rn. Restrictions on the structure of the equation are formulated in terms of a generalized N -function.
L. M. Kozhevnikova
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 This work is concerned with the construction of the minimal and maximal solutions for a quasilinear elliptic equation with integral boundary conditions, where the nonlinearity is a continuous function depending on the first derivative of the unknown ...
Mohammed Derhab
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Nonexistence of positive supersolutions of elliptic equations via the maximum principle [PDF]
, 2010 We introduce a new method for proving the nonexistence of positive supersolutions of elliptic inequalities in unbounded domains of $\mathbb{R}^n$. The simplicity and robustness of our maximum principle-based argument provides for its applicability to ...
Armstrong, Scott N., Sirakov, Boyan
core
A new critical curve for a class of quasilinear elliptic systems
, 2012 We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given by the $p$-Laplacian operator as well as the mean curvature operator in non
Bidaut-Véron +34 more
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Fine topology and quasilinear elliptic equations [PDF]
Annales de l'Institut Fourier, 1989 It is shown that the (1,p)-fine topology defined via a Wiener criterion is the coarsest topology making all supersolutions to the p-Laplace equation div (|∇u|p-2∇u)=0continuous. Fine limits of quasiregular and BLD mappings are also studied.
Heinonen, J. +2 more
openaire +2 more sources
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
wiley +1 more source
Electronic Journal of Differential Equations, 2005 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj
Multiplicity of Solutions to a Potential Operator Equation and Its Applications
Abstract and Applied Analysis, 2014 We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions.
Jincheng Huang
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