Results 141 to 150 of about 23,725 (167)
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Ekeland's variational principle and the mountain pass lemma
Acta Mathematica Sinica, 1985The mountain-pass lemma of Abrosetti and Rabinowitz gives conditions under which a smooth mapping \(F: X\to {\mathbb{R}}\), where X is a Banach space, has a critical point. The hypotheses are simply that F display mountain-pass structure relative to some points \(x_ 0\) and \(y_ 0\), and that the Palais-Smale compactness condition be verified.
Shuzhong Shi
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A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers
Optimization, 2011We present a version of the classical Mountain Pass Lemma and explain how to combine it with constraint qualifications to prove that nonlinear programming problems have a unique local minimizer.
W. Mascarenhas
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Archive for Rational Mechanics and Analysis, 1992
This paper is concerned with the existence of a weak solution for the quasilinear elliptic Dirichlet boundary-value problem on \(\Omega \subset \mathbb{R}^ n\), \(n \geq 3\), \[ -\nabla \cdot \bigl( | \nabla u |^{p- 2}\nabla u \bigr)+| u |^{p-2}u=f(u) \] with \(2 \leq ...
I. Schindler
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This paper is concerned with the existence of a weak solution for the quasilinear elliptic Dirichlet boundary-value problem on \(\Omega \subset \mathbb{R}^ n\), \(n \geq 3\), \[ -\nabla \cdot \bigl( | \nabla u |^{p- 2}\nabla u \bigr)+| u |^{p-2}u=f(u) \] with \(2 \leq ...
I. Schindler
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Studies in Applied Mathematics, 1996
Assuming that a function g solves the classical Plateau problem for a disc‐type surface, we give conditions on a non zero function H in ℝ3 with respect to g to obtain multiple weak solutions to the corresponding problem with mean curvature H.
Lami Dozo, E., Mariani, M. C.
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Assuming that a function g solves the classical Plateau problem for a disc‐type surface, we give conditions on a non zero function H in ℝ3 with respect to g to obtain multiple weak solutions to the corresponding problem with mean curvature H.
Lami Dozo, E., Mariani, M. C.
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Mountain Pass solutions for non-local elliptic operators
Journal of Mathematical Analysis and Applications, 2012Raffaella Servadei, Enrico Valdinoci
exaly
Relations between the mountain pass theorem and local minima
Advances in Nonlinear Analysis, 2012Gabriele Bonanno
exaly