Fractional Kirchhoff-type systems via sub-supersolutions method in $\mathbb{H}^{α,β;ψ}_{p}(Ω)$ [PDF]
, 2023 J. Vanterler da C. Sousa
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Location of solutions for quasi-linear elliptic equations with general gradient dependence
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution.
Dumitru Motreanu, Elisabetta Tornatore
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Computing the First Eigenpair of the p-Laplacian via Inverse Iteration of Sublinear Supersolutions [PDF]
, 2011 Rodney Josué Biezuner +3 more
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Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space
Boundary Value ProblemsIn this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents.
Tahar Bouali +2 more
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Existence and Nonexistence Results for Classes of Singular Elliptic Problem
Abstract and Applied Analysis, 2010 The singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants.
Peng Zhang, Jia-Feng Liao
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Compatibility of state constraints and dynamics for multiagent control systems. [PDF]
J Evol Equ, 2021 Cavagnari G, Marigonda A, Quincampoix M.
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Stability and Markov property of forward backward minimal supersolutions
Electronic Journal of Probability, 2016 We show stability and locality of the minimal supersolution of a forward backward stochastic differential equation with respect to the underlying forward process under weak assumptions on the generator. The forward process appears both in the generator and the terminal condition.
Drapeau, Samuel, Mainberger, Christoph
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A simple planning problem for COVID-19 lockdown: a dynamic programming approach. [PDF]
Econ Theory, 2023 Calvia A, Gozzi F, Lippi F, Zanco G.
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The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces [PDF]
, 2021 Giovany M. Figueiredo, A. Razani
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Least Supersolution Approach to Regularizing Free Boundary Problems [PDF]
Archive for Rational Mechanics and Analysis, 2008 In the interesting paper under review, the author studies a free boundary problem obtained as a limit for \(\varepsilon \to 0\) of the regularizing family of semilinear elliptic equations \(\Delta u = \beta_\varepsilon(u) F(\nabla u)\), where \(\beta _\varepsilon\) approximates the Dirac delta function at the origin and \(F\) is a Lipschitz continuous ...
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