Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
Lucio Damascelli, Francesca Gladiali (2004)
Revista Matemática Iberoamericana
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Lucio Damascelli, Francesca Gladiali (2004)
Revista Matemática Iberoamericana
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M. Burak Erdogan (2003)
Revista Matemática Iberoamericana
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We prove that the elliptic maximal function maps the Sobolev space W4,eta(R2) into L4(R2) for all eta > 1/6. The main ingredients of the proof are an analysis of the intersectiQn properties of elliptic annuli and a combinatorial method of Kolasa and Wolff.
Gongbao Li, Gao-Feng Zheng (2006)
Revista Matemática Iberoamericana
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In this paper, we are concerned with the asymptotically linear elliptic problem -Δu + λu = f(u), u ∈ H (Ω) in an exterior domain Ω = RO (N ≥ 3) with O a smooth bounded and star-shaped open set, and lim f(t)/t = l, 0 < l < +∞. Using a precise deformation lemma and algebraic topology argument, we prove under our assumptions that the problem possesses at least one positive solution.
G. Li, S. Peng, S. Yan (2007)
Revista Matemática Iberoamericana
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D. Arcoya, P. J. Martínez-Aparicio (2008)
Revista Matemática Iberoamericana
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Karlheinz Gröchenig (2006)
Revista Matemática Iberoamericana
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We investigate the properties an exotic symbol class of pseudodifferential operators, Sjöstrand's class, with methods of time-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sjöstrand's fundamental results and to far-reaching generalizations.
Camil Muscalu, Jill Pipher, Terence Tao, Christoph Thiele (2006)
Revista Matemática Iberoamericana
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We prove that classical Coifman-Meyer theorem holds on any polidisc T or arbitrary dimension d ≥ 1.
Yahya Ould Hamidoune, Alain Plagne (2005)
Revista Matemática Iberoamericana
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Lidia Maniccia, Marco Mughetti (2006)
Revista Matemática Iberoamericana
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We prove Fefferman's SAK Principle for a class of hypoelliptic operators on R whose nonnegative symbol vanishes anisotropically on the characteristic manifold.
María J. Carro, Joaquim Martín (2004)
Revista Matemática Iberoamericana
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