Results 11 to 20 of about 25,464 (224)
The concentration-compactness principles for W s,p(·,·)(ℝ N ) and application [PDF]
Advances in Nonlinear Analysis, 2020 Abstract We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems with variable exponents, which is even new for constant exponent case.
Ky Ho, Yun-Ho Kim
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Generalized Concentration-Compactness Principles for Variable Exponent Lebesgue Spaces with Asymptotic Analysis of Low Energy Extremals [PDF]
Mathematics, 2020 In this paper, we prove two generalized concentration-compactness principles for variable exponent Lebesgue spaces and as an application study the asymptotic behaviour of low energy extremals.
Zia Bashir +3 more
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The concentration-compactness principles for $W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)$ and application
, 2019 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems with variable exponents, which is even new for constant exponent case.
Ho, Ky, Kim, Yun-Ho
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Critical Kirchhoff equations involving the -sub-Laplacians operators on the Heisenberg group
Bulletin of Mathematical Sciences, 2023 In this paper, we deal with a class of Kirchhoff-type critical elliptic equations involving the [Formula: see text]-sub-Laplacians operators on the Heisenberg group of the form M(∥DHu∥pp + ∥u∥ p,Vp)[−Δ H,pu + V (ξ)|u|p−2u] = λf(ξ,u) + |u|p∗−2u,ξ ∈ ℍn,u ...
Xueqi Sun +3 more
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AIMS Mathematics, 2023 We prove the existence and multiplicity of solutions for a class of Choquard-Kirchhoff type equations with variable exponents and critical reaction.
Lulu Tao, Rui He, Sihua Liang, Rui Niu
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Ciência Rural, 2022 : Osmotic dehydration (OD) is a technique used for the partial removal of water from foodstuff, including fruit and vegetables, with the aim of producing a desiccated product. The process involves placing the material in a hypertonic solution for several
Barbara de Sousa Pinto +3 more
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Advanced Nonlinear Studies, 2021 The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument.
Li Jungang, Lu Guozhen, Zhu Maochun
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Small perturbations of critical nonlocal equations with variable exponents
Demonstratio Mathematica, 2023 In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
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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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Weighted interpolation inequalities: a perturbation approach [PDF]
, 2016 We study optimal functions in a family of Caffarelli-Kohn-Nirenberg inequalities with a power-law weight, in a regime for which standard symmetrization techniques fail.
Dolbeault, Jean +2 more
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