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This paper is devoted to the analysis of the asymptotic behaviour when the parameter λ goes to +∞ for operators of the form −∆+λa or more generally, cooperative systems operators of the form (−∆+λa −b −c −∆+λd ) where the potentials a and d vanish in some subregions of the domain Ω. We use the theory of Γ-convergence, even for the non-variational… (More)

- Pablo Álvarez-Caudevilla, Yihong Du, Rui Peng
- SIAM J. Math. Analysis
- 2014

Fundamental global similarity solutions of the standard form uγ(x, t) = t γfγ(y), with the rescaled variable y = x tγ , βγ = 1−nαγ 10 , where αγ > 0 are real nonlinear eigenvalues (γ is a multiindex in R ) of the tenth-order thin film equation (TFE-10) i1a (0.1) ut = ∇ · (|u|∇∆u) in R × R+ , n > 0, are studied. The present paper continues the study began in… (More)

During the year 2009/2010 I was principally working on 3 different problems in collaboration with 4 different people, 3 of them working in Pisa and one in Parma. Those works led to 3 scientific papers and 1 review paper submitted during the year 2009/2010. The first work is a collaboration with Pablo Àlvarez-Caudevilla, postdoc at the center De Giorgi. We… (More)

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