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The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem
(Birkhauser Verlag Ag, 2018-12)
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some ...
Multiplicidade de Soluções Para uma Classe de Problemas Quase lineares Críticos em rn Envolvendo Função Peso com Mudança de Sinal
(Universidade Federal de Santa Maria, 2014)
On elliptic problems in domains with unbounded boundaryPROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETYPROC EDINB MATH SOC
(SCOTTISH ACADEMIC PRESS, 2017)
Riesz bases of exponentials on unbounded multi-tiles
(American Mathematical Society, 2018-01)
We prove the existence of Riesz bases of exponentials of L2(Ω), provided that Ω ⊂ ℝd is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic ...
Envelopes of holomorphy and extension of functions of bounded type
(Academic Press Inc Elsevier Science, 2012-02)
We study the extension of holomorphic functions of bounded type defined on an open subset of a Banach space to larger domains. For this, we first characterize the envelope of holomorphy of a Riemann domain over a Banach ...