On the Morse Complex.
Xiao-Wei Peng (1984)
Mathematische Zeitschrift
Friedrich Sauvigny (1985)
Manuscripta mathematica
A.J. Tromba (1984/1985)
Mathematische Zeitschrift
Alessandro Ghigi (2005)
Collectanea Mathematica
Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0for any funcion φ ∈ C∞(S2).
Kung-Ching Chang (1986)
Equadiff 6
Giovanni Anello (2012)
Studia Mathematica
Some general multiplicity results for critical points of parameterized functionals on reflexive Banach spaces are established. In particular, one of them improves some aspects of a recent result by B. Ricceri. Applications to boundary value problems are also given.
Squassina, Marco (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Hiroshi Matano, Paul Rabinowitz (2006)
Journal of the European Mathematical Society
Recent papers have studied the existence of phase transition solutions for Allen–Cahn type equations. These solutions are either single or multi-transition spatial heteroclinics or homoclinics between simpler equilibrium states. A sufficient condition for the construction of the multitransition solutions is that there are gaps in the ordered set of single transition solutions. In this paper we explore the necessity of these gap conditions.
Galewski, Marek (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
J. Chabrowski, Shusen Yan (2002)
Colloquium Mathematicae
We consider the Neumann problem for the equation , u ∈ H¹(Ω), where Q is a positive and continuous coefficient on Ω̅ and λ is a parameter between two consecutive eigenvalues and . Applying a min-max principle based on topological linking we prove the existence of a solution.
Hans-Bert Rademacher (1984)
Mathematische Zeitschrift
John Douglas Moore (1990)
Mathematische Annalen
L. Reinhart (1982)
Numerische Mathematik
Elgindi, M.B.M., Langer, R.W. (1995)
International Journal of Mathematics and Mathematical Sciences
Paul Yang, Meijun Zhu (2004)
ESAIM: Control, Optimisation and Calculus of Variations
We prove that the Paneitz energy on the standard three-sphere is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
Paul Yang, Meijun Zhu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We prove that the Paneitz energy on the standard three-sphere S3 is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
Tamás Milkovszki, Zoltán Muzsnay (2017)
Czechoslovak Mathematical Journal
A. Rapcsák obtained necessary and sufficient conditions for the projective Finsler metrizability in terms of a second order partial differential system. In this paper we investigate the integrability of the Rapcsák system and the extended Rapcsák system, by using the Spencer version of the Cartan-Kähler theorem. We also consider the extended Rapcsák system completed with the curvature condition. We prove that in the non-isotropic case there is a nontrivial Spencer cohomology group in the sequences...
Jerry L. Kazdan, Zhiren Jin (1991)
Mathematische Zeitschrift
Carlos J. Ferraris (1980)
Mathematische Zeitschrift
Fabrice Bethuel (1993)
Manuscripta mathematica