Results 1 to 10 of about 110 (101)
On subsolutions and concavity for fully nonlinear elliptic equations
Advanced Nonlinear StudiesSubsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Bo Guan
exaly +2 more sources
On the theory of entropy suband supersolutions of nonlinear degenerate parabolic equations
Современная математика: Фундаментальные направления, 2023 We consider a second-order nonlinear degenerate anisotropic parabolic equation in the case when the flux vector is only continuous and the nonnegative diffusion matrix is bounded and measurable.
E. Yu. Panov
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Generalized Keller-Osserman Conditions for Fully Nonlinear Degenerate Elliptic Equations
Современная математика: Фундаментальные направления, 2018 We discuss the existence of entire (i.e. defined on the whole space) subsolutions of fully nonlinear degenerate elliptic equations, giving necessary and sufficient conditions on the coefficients of the lower order terms which extend the classical Keller ...
I Capuzzo Dolcetta, F Leoni, A Vitolo
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Curved fronts of bistable reaction–diffusion equations with nonlinear convection
Advances in Difference Equations, 2020 This paper is concerned with traveling curved fronts of bistable reaction–diffusion equations with nonlinear convection in a two-dimensional space.
Hui-Ling Niu, Jiayin Liu
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Journal of Inequalities and Applications, 2020 This paper deals with the numerical analysis of parabolic variational inequalities with nonlinear source terms, where the existence and uniqueness of the solution is provided by using Banach’s fixed point theorem. In addition, an optimally L ∞ $L^{\infty}
Salah Boulaaras +2 more
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Nonlinear Analysis, 2016 This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions.
Jiashan Zheng
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A Nonlinear Integral Equation Related to Infectious Diseases
Journal of Function Spaces, 2020 In this paper, a nonlinear integral equation related to infectious diseases is investigated. Namely, we first study the existence and uniqueness of solutions and provide numerical algorithms that converge to the unique solution.
Mohamed Jleli, Bessem Samet
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 We use upper and lower absolutely continuous functions as subsolutions and supersolutions to discontinuous ordinary differential equations. We present sufficient conditions for the existence of extremal solutions to initial value problems. Due to a new
Krzysztof Topolski
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A parabolic analogue of Finn's maximum principle
Abstract and Applied Analysis, 1998 We obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.
Vasyl V. Kurta
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Boundary behaviors for linear systems of subsolutions of the stationary Schrödinger equation
Journal of Inequalities and Applications, 2016 This paper investigates the boundary behaviors for linear systems of subsolutions of the stationary Schrödinger equation, which contain unstable subsystems.
Zongcai Jiang, Francisco Marco Usó
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