Results 71 to 80 of about 2,147 (138)
The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 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 ...
Ho Ky, Kim Yun-Ho
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Tensor products and sums of p-harmonic functions, quasiminimizers and p-admissible weights
, 2017 The tensor product of two p-harmonic functions is in general not p-harmonic, but we show that it is a quasiminimizer. More generally, we show that the tensor product of two quasiminimizers is a quasiminimizer.
Björn, Anders, Björn, Jana
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Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space
, 2018 We introduce Herz-Morrey-Orlicz spaces on the half space, and study the boundedness of the Hardy-Littlewood maximal operator. As an application, we establish Sobolev’s inequality for Riesz potentials of functions in such spaces, which is one of mixed ...
Y. Mizuta, T. Ohno, T. Shimomura
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Remarks on a nonlinear nonlocal operator in Orlicz spaces
Advances in Nonlinear Analysis, 2019 We study integral operators Lu(χ)=∫ℝℕψ(u(x)−u(y))J(x−y)dy$\mathcal{L}u\left( \chi \right)=\int{_{_{\mathbb{R}}\mathbb{N}}\psi \left( u\left( x \right)-u\left( y \right) \right)J\left( x-y \right)dy}$of the type of the fractional p-Laplacian operator ...
Correa Ernesto, Pablo Arturo de
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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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Local one-sided maximal function on fractional Sobolev spaces
Mathematical Inequalities & Applications, 2019 In this article we study the boundedness of local one sided maximal operators on weighted fractional Sobolev Spaces. As a consequence we obtain a Lebesgue differentiation theorem for functions in fractional Sobolev spaces.
A. Ghosh, Kalachand Shuin
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Embedding generalized Wiener classes into Lipschitz spaces
Mathematical Inequalities & Applications, 2019 In this note, we give a necessary and sufficient condition for embedding the classes ΛBV(pn↑p) into the generalized Lipschitz spaces Hω q (1 q < p ∞ ). Mathematics subject classification (2010): 46E35, 46E30.
M. M. Goodarzi +2 more
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Mathematical Inequalities & Applications, 2019 Our aim in this paper is to deal with the boundedness of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces L(1,φ;κ)(G) over non-doubling measure spaces, as an extension of [4, 6, 9, 12, 19].
Y. Sawano, T. Shimomura
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, 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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Extremal functions for the modified Trudinger-Moser inequalities in two dimensions
Mathematical Inequalities & Applications, 2019 Let Ω ⊂ R2 be a smooth bounded domain, W 1,2 0 (Ω) be the standard Sobolev space. Assuming certain conditions on a function g : R → R , we prove that the supremum sup u∈W 0 (Ω),‖∇u‖2 1 ∫ Ω (1+g(u))e4πu 2 dx, can be attained by some function u0 ∈W 1,2 0 ...
Ya in Wang
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