Homoclinics : Poincaré-Melnikov type results via a variational approach
Antonio Ambrosetti, Marino Badiale (1998)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Semiclassical states of nonlinear Schrödinger equations with bounded potentials”
Homoclinics : Poincaré-Melnikov type results via a variational approach
Existence of multiple critical points for an asymptotically quadratic functional with applications.
Li, Shujie, Su, Jiabao (1996)
Abstract and Applied Analysis
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Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential
Jing Lu (2013)
Applicationes Mathematicae
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We give a sufficient condition under which the solutions of the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential blow up. The method is a modified variational approach, in the spirit of the work by Ibrahim et al. [Anal. PDE 4 (2011), 405-460].
Critical groups of critical points produced by local linking with applications.
Perera, Kanishka (1998)
Abstract and Applied Analysis
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Critical points and nonlinear variational problems
Antonio Ambrosetti (1992)
Mémoires de la Société Mathématique de France
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Some critical point theorems and applications to semilinear elliptic partial differential equations
Paul H. Rabinowitz (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the critical pair theory in ℤ/pℤ
Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
Acta Arithmetica
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Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity
Jean Bourgain, W. Wang (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Trudinger–Moser inequality on the whole plane with the exact growth condition
Slim Ibrahim, Nader Masmoudi, Kenji Nakanishi (2015)
Journal of the European Mathematical Society
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Trudinger-Moser inequality is a substitute to the (forbidden) critical Sobolev embedding, namely the case where the scaling corresponds to . It is well known that the original form of the inequality with the sharp exponent (proved by Moser) fails on the whole plane, but a few modied versions are available. We prove a precised version of the latter, giving necessary and sufficient conditions for the boundedness, as well as for the compactness, in terms of the growth and decay of the...