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Multiple solutions for a fractional p-Laplacian equation with sign-changing potential
Electronic Journal of Differential Equations, 2016 We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the fractional p-Laplace equation $$\displaylines{ (-\Delta)_p^s u + V(x) |u|^{p-2}u = f(x, u) \quad \text{in } \mathbb{R}^N, }$$ where $s\in (0,1)
Vincenzo Ambrosio
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Infinity Laplace equation with non-trivial right-hand side
Electronic Journal of Differential Equations, 2010 We analyze the set of continuous viscosity solutions of the infinity Laplace equation $-Delta^N_{infty}w(x) = f(x)$, with generally sign-changing right-hand side in a bounded domain.
Guozhen Lu, Peiyong Wang
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The infinity(x)-Laplace equation in Riemannian vector fields
Electronic Journal of Differential Equations, 2015 We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the infinity(x)-Laplace equation in Riemannian vector fields.
Thomas Bieske
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Elasto-plastic torsion problem as an infinity Laplace's equation
Electronic Journal of Differential Equations, 2006 In this paper, we study a perturbed infinity Laplace's equation, the perturbation corresponds to an Leray-Lions operator with no coercivity assumption. We consider the case where data are distributions or $L^{1}$ elements.
Ahmed Addou +2 more
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Second-order boundary estimate for the solution to infinity Laplace equations
Electronic Journal of Differential Equations, 2017 In this article, we establish a second-order estimate for the solutions to the infinity Laplace equation $$ -\Delta_{\infty} u=b(x)g(u), \quad u>0, \quad x \in \Omega,\; u|_{\partial \Omega}=0, $$ where $\Omega$ is a bounded domain in $\mathbb{R ...
Ling Mi
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Electronic Journal of Differential Equations, 2015 This article is devoted to the study of the existence of weak solutions to an initial and boundary value problem for a parabolic p(x)-Laplace equation with convection term.
Zhongqing Li, Baisheng Yan, Wenjie Gao
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper we consider the Dirichlet problem for quasi-linear second-order elliptic equation with the $m(x)$-Laplacian and the strong nonlinearity on the right side in an unbounded cone-like domain.
Mikhail Borsuk, Damian Wiśniewski
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The Boundary Regularity for Normalized Infinity Laplace Equations
Science Discovery, 2021 Infinity Laplace equations, which derive from minimal Lipschitz extensions and absolutely minimal variational problems, have been widely applied in zero-sum tug-of-war game, optimal transport, shape deformation and so on. However, due to the quasi-linearity, extreme degeneration (non-degeneration only in the gradient direction) and non-divergence of ...
Yanhui Li, Xiaotao Huang
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RETRACTED ARTICLE: Growth properties at infinity for solutions of modified Laplace equations [PDF]
Journal of Inequalities and Applications, 2015 AbstractLet $\mathscr{F}$ F be a family of solutions of Laplace equations in a domain D and for each $f\in\mathscr{F}$ f ∈ F , f has only zeros of multiplicity at least k. Let n be a positive integer and such that $n\geq\frac{1+\sqrt{1+4k(k+1)^{2}}}{
Sun, Jianguo +2 more
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Retraction Note: Growth properties at infinity for solutions of modified Laplace equations [PDF]
Journal of Inequalities and Applications, 2021 This article has been retracted.
Jianguo Sun +2 more
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