Results 11 to 20 of about 145 (131)
Nonlinear finite elements: Sub- and supersolutions for the heterogeneous logistic equation
Journal of Differential Equations, 2021 In this paper we give the necessary and sufficient conditions for the Discrete Maximum Principle (DMP) to hold. We prove the convergence of the nonlinear finite element method applied to the logistic equation by using that the Jacobian matrix evaluated in the supersolution, provided by the a priori bound, is a non-singular M-matrix, which is proved in ...
D. Aleja, M. Molina-Meyer
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On the sub-supersolution method for \(p(x)\)-Kirchhoff type equations [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Xiaoling, Dai, Guowei
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Multiplicity of solutions for an anisotropic variable exponent problem
Boundary Value Problems, 2022 In this manuscript an existence result for an anisotropic variable problem which is related to several applications is proved. By considering suitable hypotheses, the multiplicity of solutions is obtained.
Leandro S. Tavares
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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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Positive stationary solutions of convection-diffusion equations for superlinear sources [PDF]
Opuscula Mathematica, 2022 We investigate the existence and multiplicity of positive stationary solutions for acertain class of convection-diffusion equations in exterior domains.
Aleksandra Orpel
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Discontinuous Variational-Hemivariational Inequalities Involving the p-Laplacian
Journal of Inequalities and Applications, 2007 We deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems.
Patrick Winkert
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On a sub-supersolution method for the prescribed mean curvature problem [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the sub-supersolution principle for p(x)-Laplacian equations
Gulf Journal of Mathematics, 2018 This paper deals with the sub-supersolution method for the p(x) -Laplacian Dirichlet problem. A sub-supersolution principle for the Dirichlet problems involving the p(x)-Laplacian is established by using induction method.
AKBULUT, Sezgin +2 more
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A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence [PDF]
Mathematics, 2020 The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems. The main result establishes the existence of a solution enclosed in the ordered interval formed by a sub ...
Dumitru Motreanu +2 more
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Advances in Mathematical Physics, 2021 Extending (Drábek and Takáč 2017), we investigate the Lyapunov stability of planar waves for the reaction-diffusion equation on ℝn, n≥2, with a α-Ho¨lder continuous ...
Soyeun Jung, Eunkyung Ko
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