Results 1 to 10 of about 429 (89)
The Monotonicity of the Principal Frequency of the Anisotropic p-Laplacian
Comptes rendus. Mathematique, 2022 Let D > 1 be a fixed integer. Given a smooth bounded, convex domain Ω⊂RD and H :RD → [0,∞) a convex, even, and 1-homogeneous function of class C 3,α(RD \ {0}) for which the Hessian matrix D2(H p ) is positive definite in RD \ {0} for any p ∈ (1,∞), we ...
M. Bocea +2 more
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Principal eigenvalue problem for infinity Laplacian in metric spaces
Advanced Nonlinear Studies, 2022 This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic
Liu Qing, Mitsuishi Ayato
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A non-smooth Brezis-Oswald uniqueness result
Open Mathematics, 2023 We classify the non-negative critical points in W01,p(Ω){W}_{0}^{1,p}\left(\Omega ) of J(v)=∫ΩH(Dv)−F(x,v)dx,J\left(v)=\mathop{\int }\limits_{\Omega }\hspace{0.15em}H\left(Dv)-F\left(x,v){\rm{d}}x, where HH is convex and positively pp-homogeneous, while ...
Mosconi Sunra
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Existence of solutions for a nonlinear problem at resonance
Demonstratio Mathematica, 2022 In this work, we are interested at the existence of nontrivial solutions for a nonlinear elliptic problem with resonance part and nonlinear boundary conditions. Our approach is variational and is based on the well-known Landesman-Laser-type conditions.
Haddaoui Mustapha +3 more
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Boundary Value Problems, 2013 We provide the existence of a positive solution for the quasilinear elliptic equation −div(a(x,|∇u|)∇u)=f(x,u,∇u) in Ω under the Dirichlet boundary condition.
Mieko Tanaka
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Boundary Value Problems, 2014 We are concerned with the following elliptic equations with variable exponents: −div(φ(x,∇u))+|u|p(x)−2u=λf(x,u) in RN, where the function φ(x,v) is of type |v|p(x)−2v with continuous function p:RN→(1,∞) and f:RN×R→R satisfies a Carathéodory condition ...
Seung Dae Lee, Kisoeb Park, Yun-Ho Kim
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Lower bounds for the first eigenvalues of the p-Laplacian and the weighted p-Laplacian
, 2020 In this paper, we investigate the p -Laplacian Δp on a complete noncompact submanifold of a Riemannian manifold with sectional curvature bounded above by a negative constant. Moreover, we study the weighted p -Laplacian Δp,φ on an n -dimensional complete
He-Jun Sun +2 more
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A double-phase eigenvalue problem with large exponents
Open Mathematics, 2023 In the present article, we consider a double-phase eigenvalue problem with large exponents. Let λ(pn,qn)1{\lambda }_{\left({p}_{n},{q}_{n})}^{1} be the first eigenvalues and un{u}_{n} be the first eigenfunctions, normalized by ‖un‖ℋn=1\Vert {u}_{n}{\Vert
Yu Lujuan
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Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities
Advances in Nonlinear Analysis, 2023 In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional pp-Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and ...
Fareh Soraya +3 more
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Advances in Nonlinear Analysis, 2021 In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El +2 more
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