Results 51 to 60 of about 1,989 (226)
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
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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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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
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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
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Positive Solutions of Quasilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Nontrivial solutions of variational inequalities. The degenerate case [PDF]
, 2001 We consider a class of asymptotically linear variational inequalities. We show the existence of a nontrivial solution under assumptions which allow the problem to be degenerate at the ...
Lancelotti, Sergio
core
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
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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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On quasilinear elliptic equations in ℝN
Abstract and Applied Analysis, 1996 In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where ...
C. O. Alves, J. V. Concalves, L. A. Maia
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