Results 1 to 10 of about 103 (103)

Singular quasilinear convective systems involving variable exponents [PDF]

Opuscula Mathematica, 2023
The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. The approach combines the sub-supersolutions method and Schauder's fixed point theorem.
Abdelkrim Moussaoui, Dany Nabab, Jean Vélin   +2 more
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Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique [PDF]

Opuscula Mathematica, 2023
In this paper it is obtained, through variational methods and sub-supersolution arguments, existence and multiplicity of solutions for a nonhomogeneous problem which arise in several branches of science such as chemical reactions, biophysics and plasma ...
Leandro S. Tavares, J. Vanterler C. Sousa   +1 more
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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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Upper and lower absolutely continuous functions with applications to discontinuous differential equations

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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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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Lyapunov Stability of Planar Waves to the Reaction-Diffusion Equation with a Non-Lipschitzian Reaction Term

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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Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]

Opuscula Mathematica, 2015
In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
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On positive weak solutions for a class of weighted (p(.), q(.))−Laplacian systems

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper, we study the existence of positive weak solutions for a quasilinear elliptic system involving weighted (p(.), q(.))−Laplacian operators. The approach is based on sub-supersolutions method and on Schauder’s fixed point theorem.
Azroul Elhoussine, Boumazourh Athmane, Srati Mohammed   +2 more
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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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Existence of Positive Solutions for a Class of px,qx-Laplacian Elliptic Systems with Multiplication of Two Separate Functions

Complexity, 2020
The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two ...
Youcef Bouizem, Salah Mahmoud Boulaaras, Ali Allahem   +2 more
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