Results 11 to 20 of about 151 (130)
Archiv Der Mathematik, 2020 This paper deals with the existence of positive solutions for a class of anisotropic equations with power-type reaction. A key tool in the analysis developed in this paper is played by the sub-supersolution method. The paper is very well written and the approach can be extended to other classes of anisotropic elliptic equations.
Simone Ciani +2 more
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Sub-supersolution method for quasilinear parabolic variational inequalities
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siegfried Carl
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Electronic Journal of Differential Equations, 2022 We consider a system of nonlocal elliptic equations $$ \displaylines{ - \mathcal{A}(x, |v|_{L^{r_1(x)}}) \hbox{div}(a_1(|\nabla u|^{p_1(x)})|\nabla u|^{p_1(x)-2}\nabla u)\cr = f_1(x, u,v) |\nabla v|^{\alpha_1(x)}_{L^{q_1(x)}}+g_1(x, u,v) |\nabla v|^{\gamma_1(x)}_{L^{s_1(x)}},\cr - \mathcal{A}(x, |u|_{L^{r_2(x)}}) \hbox{div}(a_2(|\nabla v|^{p_2(x ...
Abdolrahman Razani +1 more
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MathematicsIn this note we provide an overview of some existence (with sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role.
Giuseppina Barletta
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Discrete and Continuous Dynamical Systems, 2018 The main result of the paper concerns the existence of a solution \((u,v)\), defined on the half-line \(\mathbb{R}^+\), to the system \[ \begin{split} &-du''=\mu(x)f(u)-v, \\ &-v''+\gamma v=u \end{split} \] with boundary conditions that express the connection between two equilibria \[ (u,v)(0)=(0,0),\quad (u,v)(+\infty)=(a_\gamma,a_\gamma/\gamma ...
exaly +4 more sources
Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent [PDF]
Opuscula Mathematica, 2021 We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent.
Abderrahim Charkaoui +2 more
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The sub-supersolution method for weak solutions [PDF]
Proceedings of the American Mathematical Society, 2008 Summary: We extend the method of sub- and supersolutions in order to prove existence of \(L^1\)-solutions of the equation \(-\Delta u = f(x,u)\) in \(\Omega\), where \(f\) is a Carathéodory function. The proof is based on the Schauder's fixed point theorem.
Montenegro, Marcelo, Ponce, Augusto C.
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Fractional Kirchhoff-Type and Method of Sub-supersolutions
Differential Equations and Dynamical Systems, 2023 In the present paper, we are interested in investigating the existence of positive solutions of a new class of fractional Kirchhoff via the sub and supersolutions technique. For this, we first need to investigate two results through lemmas.
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Multiplicity for a strongly singular quasilinear problem via bifurcation theory
Bulletin of Mathematical Sciences, 2023 A [Formula: see text]-Laplacian elliptic problem in the presence of both strongly singular and [Formula: see text]-superlinear nonlinearities is considered.
Jacques Giacomoni +2 more
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Boundary Value Problems, 2020 The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right-hand side and variable parameters by using the sub-/supersolution method. Our study is a natural extension result of our previous one in (Boulaaras
Mohamed Haiour +3 more
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