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.
Dumitru Motreanu +2 more
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A Sub-Supersolution Method for p-Laplacian Equation with Non-Local Term
Journal of Mathematics, 2022 This paper is concerned with the existence of solutions for p-Laplace problems with non-local term. We prove the sub-supersolution theorem using the pseudomonotone operator theorem and Minty–Browder theorem with appropriate assumptions on M,gii=1,2. Then,
Mei Rong, Qing Miao
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The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces [PDF]
Boundary Value Problems, 2021 In this paper, a nonhomogeneous elliptic equation of the form − A ( x , | u | L r ( x ) ) div ( a ( | ∇ u | p ( x ) ) | ∇ u | p ( x ) − 2 ∇ u ) = f ( x , u ) | ∇ u | L q ( x ) α ( x ) + g ( x , u ) | ∇ u | L s ( x ) γ ( x ) $$\begin{aligned}& - \mathcal ...
Giovany M. Figueiredo, A. Razani
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The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang +2 more
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Comparison and sub-supersolution principles for the fractional p(x)-Laplacian
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anouar Bahrouni
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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.
Le Vy Khoi, Vy Khoi Le
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Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We use sub-supersolution method and Mountain Pass Theorem in order to show existence and multiplicity of solution for quasilinear system given by \begin{equation*} \begin{cases} -\Big[\displaystyle\sum^{N}_{i=1}\frac{\partial}{\partial x_{i}}\Big \vert
Giovany Figueiredo, Julio Silva
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The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces [PDF]
Journal of Function Spaces, 2018 We prove the existence of extremal solutions of the following quasilinear elliptic problem -∑i=1N∂/∂xiai(x,u(x),Du(x))+g(x,u(x),Du(x))=0 under Dirichlet boundary condition in Orlicz-Sobolev spaces W01LM(Ω) and give the enclosure of solutions.
Ge Dong, Xiaochun Fang
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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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Differential equations of divergence form in Musielak–Sobolev spaces and a sub-supersolution method
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianling Fan
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