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In this paper, we find optimal constants of a special class of Gagliardo-Nirenberg type inequalities which turns out to interpolate between the classical Sobolev inequality and the Gross logarithmic… (More)

We consider minimal surfaces M which are complete, embedded and have finite total curvature in R, and bounded, entire solutions with finite Morse index of the Allen-Cahn equation ∆u + f(u) = 0 in R.… (More)

- Manuel M Sánchez Del Pino, MICHA L KOWALCZYK, Monica Musso
- 2004

We consider the boundary value problem ∆u+ε k(x) e = 0 in a bounded, smooth domain Ω in R with homogeneous Dirichlet boundary conditions. Here ε > 0, k(x) is a non-negative, not identically zero… (More)

- Manuel M Sánchez Del Pino, Jean Dolbeault, Stathis Filippas, ACHILLES TERTIKAS
- 2010

We prove a new inequality which improves on the classical Hardy inequality in the sense that a nonlinear integral quantity with super-quadratic growth, which is computed with respect to an inverse… (More)

- Manuel M Sánchez Del Pino, MICHA L KOWALCZYK, F. Pacard, Juncheng Wei
- 2008

We construct new class of entire solutions of the Allen-Cahn equation ∆u+(1−u2)u = 0, in R2(∼ C). Given k ≥ 1, we find a family of solutions whose zero level sets are, away from a compact set,… (More)

- Mauricio G. Mateu, Manuel M Sánchez Del Pino, A. R. Fersht
- Nature Structural Biology
- 1999

We have analyzed the folding pathway of the tetramerization domain of the tumor suppressor protein p53. Structures of transition states were determined from Φ–values for 25 mutations, including… (More)

- Manuel M Sánchez Del Pino, Micha l Kowalczyk, Juncheng Wei
- 2007

We consider the Allen-Cahn equation ε∆u+(1−u)u = 0 in a bounded, smooth domain Ω in R, under zero Neumann boundary conditions, where ε > 0 is a small parameter. Let Γ0 be a segment contained in Ω,… (More)

We study the asymptotic behaviour of nonnegative solutions t : ut = pum using an entropy estimate based on a sub-family of the Gagliardo-Nir enberg inequalities – or, in the limit casem = (p 1) 1, on… (More)

In this paper, we consider the Brezis-Nirenberg problem in dimension N ≥ 4, in the supercritical case. We prove that if the exponent gets close to N+2 N−2 and if, simultaneously, the bifurcation… (More)

- Javier Sotillo, M Luz Valero, +4 authors Rafael Bravo Toledo
- Parasitology Research
- 2010

The excretory/secretory proteome of Echinostoma caproni (Trematoda: Echinostomatidae) adults collected from experimentally infected mice was investigated using a proteomic approach. We performed a… (More)