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Annales de l Institut Henri Poincaré C Analyse Non Linéaire is a peer-reviewed journal published by Elsevier, covering Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations, Advanced Mathematical Physics Problems.
| Publisher | Elsevier |
|---|---|
| Reference style | Numbered (Elsevier) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, C. Lee, A representative article title, Annales de l Institut Henri Poincaré C Analyse Non Linéaire 12 (2023) 45–58.
Formats any DOI in Annales de l Institut Henri Poincaré C Analyse Non Linéaire style. No sign-up. |
| Publishes research in | Advanced Mathematical Modeling in Engineering Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems Navier-Stokes equation solutions Geometric Analysis and Curvature Flows |
| ISSN | 0294-1449 |
| Citation impact (2-yr) | 1.81 |
| h-index | 117 |
| i10-index | 1,126 |
| Total citations | 65,954 |
| Open access | Yes |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.journals.elsevier.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Citations each year’s papers have accumulated so far — the most recent years are still building up.
We present here a new method for solving minimization problems in unbounded domains. We first derive a general principle showing the equivalence between the compactness of all minimizing sequences and some strict sub-additivity conditions. The proof is based upon a compactness lemma obtained with the help of the notion of concentration function of a measure.…
In this paper (sequel of Part 1) we investigate further applications of the concentration-compactness principle to the solution of various minimization problems in unbounded domains. In particular we present here the solution of minimization problems associated with nonlinear field equations. Résumé Dans cette deuxième partie, nous examinons de nouvelles applications du principe de concentration-compacité à…
Let p = \frac{2\:\mathrm{N}}{\mathrm{N}−2} , \mathrm{N} ≧ 3 be the limiting Sobolev exponent and Ω\subset ℝ^{\mathrm{N}} open bounded set. We show that for f\in H^{−1} satisfying a suitable condition and f ≠ 0 , the Dirichlet problem: \begin{align*} −\mathrm{\Delta }u &= \left|u\right|^{p−2}u + f\:&&\mathrm{on }\:\mathrm{\Omega } \\ u &= 0\:&&\mathrm{on }\:∂\mathrm{\Omega } \end{align*} admits two…
We study the asymptotic behavior of positive solutions of semilinear equations with nearly critical nonlinearity. The solutions are shown to blow up at exactly one point. The exact rate and location of blowing up are studied. Résumé On étudie le comportement asymptotique de solutions positives d’équations elliptiques semi-linéaires présentant une non-linéarité presque critique. Les solutions…
We consider the semilinear heat equation in a bounded domain of ℝ^d , with control on a subdomain and homogeneous Dirichlet boundary conditions. We prove that the system is null-controllable at any time provided a globally defined and bounded trajectory exists and the nonlinear term f(y) is such that |f(s)| grows slower than |s|\log 3/2(1+|s|)…
