Results 61 to 70 of about 191 (143)
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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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, II [PDF]
, 2002 32 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.-- Part I of this paper published in: Acta Appl. Math. 80(3): 273-308 (2004), available at: http://e-archivo.uc3m.es/handle/10016/6482MR#: MR1928169 (2003h:42034)Zbl#: Zbl 1095.42014^aWe present ...
José M. Rodríguez +7 more
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An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
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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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Weierstrass' theorem in weighted Sobolev spaces with k derivatives: announcement of results [PDF]
, 2006 5 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR2219919 (2006m:41012)Zbl#: Zbl 1107.41007We characterize the set of functions which can be approximated by smooth functions and by polynomials with the norm $$ \ \ {W k,\infty}_w}=\sum_ {j ...
Tourís, Eva +3 more
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On functional reproducing kernels
Open Mathematics, 2023 We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
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Open Mathematics, 2023 We deal with multiplicity of solutions to the following Schrödinger-Poisson-type system in this article: ΔHu−μ1ϕ1u=∣u∣2u+Fu(ξ,u,v),inΩ,−ΔHv+μ2ϕ2v=∣v∣2v+Fv(ξ,u,v),inΩ,−ΔHϕ1=u2,−ΔHϕ2=v2,inΩ,ϕ1=ϕ2=u=v=0,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{H}u-{\mu }_{1}{
Li Shiqi, Song Yueqiang
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Weierstrass' theorem in weighted Sobolev spaces with k derivatives [PDF]
, 2007 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR2382639 (2008m:41022)Zbl#: Zbl 1177.41007We characterize the set of functions which can be approximated by smooth functions and by polynomials with the norm $$ \ \ ^{(j)}\ {W^{k,\infty}_w}=
Tourís, Eva +3 more
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Integral representations on equipotential and harmonic sets [PDF]
, 2004 12 pages, no figures.-- MSC1991 codes: Primary 46E35, 46E39, 46E20; Secondary 43A35, 44A60.MR#: MR2098419 (2005h:30066)Zbl#: Zbl 1082.46026The sets we are going to consider here are of the form ${z\in\mathbb C \mid (z) 1}$ (equipotential) and ${z\in ...
Marcellán, Francisco +3 more
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Approximation theory for weighted Sobolev spaces on curves [PDF]
, 2001 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo +6 more
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