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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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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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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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we show existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither linear.
Suellen Arruda, Rubia Nascimento
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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.
Dai Guowei
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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 Alves, Dragos-Patru Covei
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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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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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