Quasilinear equations with natural growth.
D. Arcoya, P. J. Martínez-Aparicio (2008)
Revista Matemática Iberoamericana
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D. Arcoya, P. J. Martínez-Aparicio (2008)
Revista Matemática Iberoamericana
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C. Muscalu (2007)
Revista Matemática Iberoamericana
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Ahmed Mohammed (2002)
Revista Matemática Iberoamericana
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We prove Harnack's inequality for non-negative solutions of some degenerate elliptic operators in divergence form with the lower order term coefficients satisfying a Kato type contition.
G. Li, S. Peng, S. Yan (2007)
Revista Matemática Iberoamericana
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Lucio Damascelli, Francesca Gladiali (2004)
Revista Matemática Iberoamericana
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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.
P. Germain (2008)
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.
Eduardo Casas-Alvero, Rosa Peraire (2003)
Revista Matemática Iberoamericana
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We describe the singularity of all but finitely-many germs in a pencil generated by two germs of plane curve sharing no tangent.
Yahya Ould Hamidoune, Alain Plagne (2005)
Revista Matemática Iberoamericana
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