Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
Electronic Journal of Differential Equations, 2004 This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
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Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions
Electronic Journal of Differential Equations, 2006 We consider the boundary blow-up nonlinear elliptic problems $Delta upmlambda | abla u|^q=k(x)g(u)$ in a bounded domain with boundary condition $u|_{partial Omega}=+infty$, where $qin [0, 2]$ and $lambdageq0$. Under suitable growth assumptions on $k$
Zhijun Zhang
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A sub-supersolution approach for a quasilinear Kirchhoff equation [PDF]
Journal of Mathematical Physics, 2015 In this paper, we establish an existence result for a quasilinear Kirchhoff equation, via a sub- and supersolution approach, by using the Minty-Browder’s Theorem for pseudomonotone operators theory.
Alves, Claudianor O. +1 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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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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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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The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces [PDF]
Boundary Value Problems, 2021 AbstractIn this paper, a nonhomogeneous elliptic equation of the form$$\begin{aligned}& - \mathcal{A}\bigl(x, \vert u \vert _{L^{r(x)}}\bigr) \operatorname{div}\bigl(a\bigl( \vert \nabla u \vert ^{p(x)}\bigr) \vert \nabla u \vert ^{p(x)-2} \nabla u\bigr) \\& \quad =f(x, u) \vert \nabla u \vert ^{\alpha (x)}_{L^{q(x)}}+g(x, u) \vert \nabla u ...
Giovany M. Figueiredo, A. Razani
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Existence of solution for a class of nonlocal elliptic problem via sub–supersolution method [PDF]
Nonlinear Analysis: Real World Applications, 2015 We show the existence of solution for some classes of nonlocal problems. Our proof combines the presence of sub and supersolution with the pseudomonotone operators theory.
Claudianor O. Alves +1 more
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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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