Results 11 to 20 of about 24,150 (220)
Global invertibility and implicit function theorems by mountain pass theorem [PDF]
, 2015 We formulate some global invertibility and implicit function theorems. We extend the result of Idczak, Skowron and Walczak on the invertibility of the operators to the case of the operators with critical points. The proof relies on the Mountain Pass Theorem combined with the Palais-Smale condition guaranteeing the claim by the invertibility of the ...
Bors, Dorota, Stańczy, Robert
+5 more sources
A Mountain Pass Theorem for a Suitable Class of Functions [PDF]
Rocky Mountain Journal of Mathematics, 2009 In this article, a mountain pass theorem is obtained for a functional of the form \(J=\Phi-\Psi\) defined on a reflexive real Banach space, where \(\Phi\) and \(\Psi\) are continuously Gâteau differentiable functions, \(\Phi\) is convex, and \(J_M = \Phi-\Psi_M\) satisfies the Palais--Smale condition (PS)\(_c\) with \(\Psi_M\) the cut-off function at a
D. Averna, BONANNO, Gabriele
openaire +6 more sources
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
openaire +3 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we show existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither linear.
Suellen Arruda, Rubia Nascimento
doaj +2 more sources
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
openaire +3 more sources
The Structure of the Critical Set in the Mountain Pass Theorem [PDF]
Transactions of the American Mathematical Society, 1987 We show that the critical set generated by the Mountain Pass Theorem of Ambrosetti and Rabinowitz must have a well-defined structure. In particular, if the underlying Banach space is infinite dimensional then either the critical set contains a saddle point of mountain-pass type, or the set of local minima intersects at least two components of the set ...
PUCCI, Patrizia, J. SERRIN
openaire +3 more sources
A Variant of the Mountain Pass Theorem and Variational Gluing [PDF]
Milan Journal of Mathematics, 2020 AbstractThis paper surveys some recent work on a variant of the Mountain Pass Theorem that is applicable to some classes of differential equations involving unbounded spatial or temporal domains. In particular its application to a system of semilinear elliptic PDEs on $$R^n$$ R n and to a family of Hamiltonian systems involving double well ...
Piero Montecchiari, Paul H. Rabinowitz
openaire +3 more sources
Mountain pass theorems for non-differentiable functions and applications [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vicenţiu D. Rădulescu
openaire +4 more sources
New Quantitative Deformation Lemma and New Mountain Pass Theorem [PDF]
, 2014 In this paper, we obtain a new quantitative deformation Lemma so that we can obtain more critical points, especially for supinf critical value $c_1$, $x= ^{-1}(c_1)$ is a new critical point. For $infmax$ critical value $c_2$, we can obtain two new critical points $x = 0$ (valley point) and $x = e$(peak point) ,comparing with Willem's variant of the ...
Ding, Liang, Zhang, Fode, Zhang, Shiqing
openaire +3 more sources
Cerami (C) condition and mountain pass theorem for multivalued mappings
, 2002 Summary: We prove a general minimax result for a multivalued mapping. As an application, we give existence results on critical points of this mapping which satisfy the Cerami (C) condition.
Kristály, A., Varga, Cs.
openaire +4 more sources