Results 21 to 30 of about 38,310 (232)
A Mountain-pass Theorem in Hyperbolic Space and its Application [PDF]
, 2022 We develop a min-max theory for certain complete minimal hypersurfaces in hyperbolic space. In particular, we show that given two strictly stable minimal hypersurfaces that are both asymptotic to the same ideal boundary, there is a new one trapped between the two.
Junfu Yao
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Mountain Pass Theorem With infinite symmetry [PDF]
, 2012 We extend a work of Bartsch, Clapp and Puppe on the Mountain pass theorems. We consider functionals invariant with respect to infinite discrete groups satisfying a maximality condition on the finite subgroups.
Noé Bárcenas
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Extensions of the mountain pass theorem
Journal of Functional Analysis, 1984 The paper contains a number of extensions of the mountain pass lemma of \textit{A. Ambrosetti} and \textit{P. H. Rabinowitz} [(*) ibid. 14, 349-381 (1973; Zbl 0273.49063)]. The lemma gives sufficient conditions for the existence of critical points of continuously Fréchet differentiable functionals \(I: X\to {\mathbb{R}}\) on a real Banach space X.
P. Pucci, J. Serrin
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A Mountain Pass-type Theorem for Vector-valued Functions [PDF]
Set-Valued and Variational Analysis, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ewa M. Bednarczuk +2 more
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Journal of Differential Equations, 1985 In this paper we establish a new version of the well-known theorem of Ambrosetti and Rabinowitz on the existence of critical points for functionals \(I: X\to {\mathbb{R}}\) of class \(C^ 1\) on a real Banach space X. As usual, a compactness condition of Palais-Smale type is assumed throughout, including a version particularly suited to the periodic ...
P. Pucci, J. Serrin
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Multiple solutions for a quasilinear Choquard equation with critical nonlinearity
Open Mathematics, 2021 In the present work, we are concerned with the multiple solutions for quasilinear Choquard equation with critical nonlinearity in RN{{\mathbb{R}}}^{N}.
Li Rui, Song Yueqiang
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A local mountain pass theorem and applications to a double perturbed -Laplacian equations
Applied Mathematics and Computation, 2009 Shao-Gao Deng
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Mountain pass solutions to equations with subcritical Musielak-Orlicz-Sobolev growth [PDF]
Rendiconti del Circolo Matematico di Palermo Series 2, 2021 In this paper, we study the existence of solutions for equations driven by a new subcritical Musielak-Orlicz-Sobolev growth with homogeneous Dirichlet boundary conditions.
Allami Benyaiche, Ismail Khlifi
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Existence of mountain-pass solutions for p(・)-biharmonic equations with Rellich-type term
Filomat, 2023 This manuscript discusses the existence of nontrivial weak solution for the following nonlinear eigenvalue problem driven by the p(?)-biharmonic operator with Rellich-type term {?(|?u|p(x)?2?u) = ?|u|q(x)?2u/?(x)2q(x), for x ? ?, u = ?u = 0, for x ? ??.
Mohamed Laghzal, A. Touzani
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On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent
Journal of Function Spaces, 2022 In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial ...
Mohammed El Mokhtar ould El Mokhtar
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