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Mountain pass theorem

Known as: Mountain pass lemma 
The mountain pass theorem is an existence theorem from the calculus of variations. Given certain conditions on a function, the theorem demonstrates… Expand
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Papers overview

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2017
2017
In this paper, we study the existence of infinitely many solutions for a class of fourth-order partially sublinear elliptic… Expand
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2015
2015
We present the min-max construction of critical points of the area using penalization arguments. Precisely, for any immersion of… Expand
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Highly Cited
2010
Highly Cited
2010
Abstract We consider superlinear p-Laplacian equations in R N with a potential which is periodic or has a bounded potential well… Expand
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2009
2009
In this paper, we prove a local mountain pass theorem without (P.S) condition. Using this theorem and Ricceri's variational… Expand
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Highly Cited
2007
Highly Cited
2007
Preface.- 1 Preliminaries.- 2 Properties of Linear and Nonlinear Operators.- 3 Abstract Integral and Differential Calculus.- 4… Expand
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Highly Cited
2003
Highly Cited
2003
1. Retrospective Part I. First Steps toward the Mountains: 2. Palais-Smale condition. Definitions and examples 3. Variational… Expand
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Highly Cited
2001
Highly Cited
2001
A structural frame for a building constructed of different sized precast reinforced or prestressed posts and beams permanently… Expand
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Highly Cited
1994
Highly Cited
1994
Abstract We show that mountain-pass theorems can be used to derive global homeomorphism theorems. Two new mountain-pass theorems… Expand
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Highly Cited
1994
Highly Cited
1994
In this article we study the existence of solutions for the elliptic system \( - \Updelta u = \frac{\partial H}{\partial v}\left… Expand
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Highly Cited
1989
Highly Cited
1989
A Mountain Pass Lemma is proved for a convex functional restricted to the class of rearrangements of a fixed Lp function… Expand
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