Results 71 to 80 of about 2,592,777 (103)

Existence result for the CR-Yamabe equation

Bruno Pini Mathematical Analysis Seminar, 2013
In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we ...
Vittorio Martino
doaj  

The Palais-Smale Condition And Mañé's Critical Values

, 1999
Let L be a convex superlinear autonomous Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as dened by R. Ma~ne in [23].
Gonzalo Contreras, Renato Iturriaga, Gabriel P. Paternain, Miguel Paternain   +3 more
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Bounded Palais-Smale Mountain-Pass sequences [PDF]

, 1998
: Let I(λ,.), λ ∈ R, be a family of C1-functionals having mountain-pass geometry. Under hypotheses which do not ensure that the mountain-pass level c(λ) is a monotone function of λ, it is shown that I(λ,.) has a bounded Palais-Smale sequence at level c(λ)
Jeanjean, L, J. F. Tol, L. Jeanjean, Toland, Jf   +3 more
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Bounded Palais-Smale sequences with Morse type information for some constrained functionals [PDF]

International audienceIn this paper, we study, for functionals having a mountain pass geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type ...
Jeanjean, L, Chang, X, Chang, Xiaojun, Soave, Nicola, Jeanjean, Louis, Borthwick, Jack, Borthwick, J, Soave, N   +7 more
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Asymmetric superlinear problems under strong resonance conditions

Electronic Journal of Differential Equations, 2017
We study the existence and multiplicity of solutions of the problem $$\displaylines{ -\Delta u = -\lambda_1 u^- + g(x,u),\quad \text{in } \Omega; \cr u = 0, \quad \text{on } \partial\Omega, }$$ where $\Omega$ is a smooth bounded domain in $\mathbb{R ...
Leandro Recova, Adolfo J. Rumbos
doaj  

Spectrum of a Self-Adjoint Operator and Palais-Smale Conditions [PDF]

, 2017
The spectrum and essential spectrum of a self-adjoint operator in a real Hilbert space are characterized in terms of Palais-Smale conditions on its quadratic form and Rayleigh quotient ...
Stuart, C. A.
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-bubbles for Palais–Smale maps to potential type energy functionals

, 2013
We prove a decomposition into generalized bubbles for Palais–Smale sequences associated with potential energy functionals for vector-valued function spaces.
Gil F. Souza, Montenegro, Marcos, Souza, Gil Fidelix de, Marcos Montenegro   +3 more
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Failure of Plais-Smale condition and blow-up analysis for the critical exponent problem in R²

, 1997
Let Ω be a bounded smooth domain inR2. Letf:R→R be a smooth non-linearity behaving like exp{s2} ass→∞. LetF denote the primitive off. Consider the functionalJ:H01(Ω)→R given by J(u)=12∫Ω|∇u|2dx−∫ΩF(u)dx.
Adimurthi, ., Prashanth, S.
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On an Ambrosetti-Prodi Type Problem with Applications in Modeling Real Phenomena

Mathematics
This work presents a solving method for problems of Ambrosetti-Prodi type involving p-Laplacian and p-pseudo-Laplacian operators by using adequate variational methods. A variant of the mountain pass theorem, together with a kind of Palais-Smale condition,
Irina Meghea
doaj   +1 more source

Palais-Smale condition for chiral fields

, 1999
The well known condition of compactness entered by R. Palais and S. Smale| - condition (C) - can be proved traditionally in rare cases, especially if it is considered the problem about critical points for functional f(u), u ∊ E on the surface {u ∊ E : F ...
Suvorov, S.G.
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