Results 61 to 70 of about 1,971 (100)
On functional reproducing kernels
Open Mathematics, 2023 We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
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Open Mathematics, 2023 We deal with multiplicity of solutions to the following Schrödinger-Poisson-type system in this article: ΔHu−μ1ϕ1u=∣u∣2u+Fu(ξ,u,v),inΩ,−ΔHv+μ2ϕ2v=∣v∣2v+Fv(ξ,u,v),inΩ,−ΔHϕ1=u2,−ΔHϕ2=v2,inΩ,ϕ1=ϕ2=u=v=0,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{H}u-{\mu }_{1}{
Li Shiqi, Song Yueqiang
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Sharp Sobolev Inequalities via Projection Averages. [PDF]
J Geom Anal, 2021 Kniefacz P, Schuster FE.
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On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn
Analysis and Geometry in Metric SpacesThis article is devoted to the study of a critical Choquard-Kirchhoff pp-sub-Laplacian equation on the entire Heisenberg group Hn{{\mathbb{H}}}^{n}, where the Kirchhoff function KK can be zero at zero, i.e., the equation can be degenerate, and involving ...
Liang Sihua +3 more
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Duality of capacities and Sobolev extendability in the plane. [PDF]
Complex Analysis Synerg, 2021 Zhang YR.
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A counterexample for Improved Sobolev Inequalities over the 2-adic group
, 2010 On the framework of the 2-adic group Z_2, we study a Sobolev-like inequality where we estimate the L^2 norm by a geometric mean of the BV norm and the Besov space B(-1,\infty,\infty) norm.
Chamorro, Diego
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Weighted Hardy-Adams inequality on unit ball of any even dimension
Advances in Nonlinear AnalysisIn this study, we obtain the weighted Hardy-Adams inequality of any even dimension n≥4n\ge 4. Namely, for u∈C0∞(Bn)u\in {C}_{0}^{\infty }\left({{\mathbb{B}}}^{n}) with ∫Bn∣∇n2u∣2dx−∏k=1n⁄2(2k−1)2∫Bnu2(1−∣x∣2)ndx≤1,\mathop{\int }\limits_{{{\mathbb{B}}}^{n}
Wang Xumin
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Nonexistence and existence of solutions for a supercritical p-Laplacian elliptic problem
Advanced Nonlinear StudiesIn this paper, we obtain a general supercritical Sobolev inequality in W0,rad1,p(B) ${W}_{0,rad}^{1, p}\left(B\right)$ , where B is the unit ball in RN ${\mathbb{R}}^{N}$ .
Liu Yanjun, Li Yu, Chen Yuan
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A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations
Advanced Nonlinear StudiesWe consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2022 Buccheri S, Orsina L, Ponce AC.
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