Results 51 to 60 of about 15,743 (200)
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
wiley +1 more source
The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation
Abstract and Applied Analysis, 2014 We study the existence and uniqueness of positive solutions for a class of quasilinear elliptic equations. This model has been proposed in the self-channeling of a high-power ultrashort laser in matter.
Yongkuan Cheng, Jun Yang
doaj +1 more source
A Fredholm alternative for quasilinear elliptic equations with right hand side measure
, 2015 We consider a quasilinear elliptic equation, with right hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative.
Colturato, Michele, Degiovanni, Marco
core +1 more source
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
Solvability of quasilinear elliptic equations with strong dependence on the gradient
Abstract and Applied Analysis, 2000 We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
doaj +1 more source
Quasilinear degenerate elliptic equation with absorption term
Nonlinear Analysis: Theory, Methods & Applications, 1999 The author studies the Dirichlet problem for \(p\)-harmonic operators \[ L_pu=-\text{div} (A(x)|\nabla u|^{p-2}\nabla u) \] with absorption term \[ L_pu+B(x)Q(u)= f(x)\quad \text{in } \Omega,\qquad u=0\quad \text{on } \partial\Omega. \] Here \(B(x)\) is a nonnegative function on \(\Omega\) and \(Q(t)\) is a continuous and strictly monotone increasing ...
openaire +3 more sources
Quasilinear elliptic equations via perturbation method [PDF]
Proceedings of the American Mathematical Society, 2012 The paper is concerned with the existence and multiplicity of solutions for quasilinear equations of the form \[ \begin{cases} \sum _ {i,j=1}^ND_j( a_{ij}(x,u) D_iu) & \\ \qquad-\frac12 \sum _{i,j=1}^N D_sa_{ij}(x,u) D_iu D_ju + f(x,u)=0& \mathrm{in}\,\, \Omega ,\\ u=0 & \mathrm{on}\,\, \partial \Omega \end{cases} \tag{1} \] where \(D_i= \partial ...
Liu, Xiang-Qing +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
Solutions of anisotropic elliptic equations in unbounded domains
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic ...
Larisa Mikhailovna Kozhevnikova +1 more
doaj +1 more source
Quasilinear Dirichlet Problems with Degenerated p-Laplacian and Convection Term
Mathematics, 2021 The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term.
Dumitru Motreanu, Elisabetta Tornatore
doaj +1 more source