Results 11 to 20 of about 839,332 (169)

On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems

Advances in Difference Equations, 2019
In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear ...
Liang Ding, Jinlong Wei, Shiqing Zhang
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Modeling angiogenesis under Robin boundary conditions. [PDF]

Quant Biol
Abstract In this study, we show an example of a numerical model based on the Keller–Segel system of equations to simulate angiogenesis in response to chemotaxis under Robin boundary conditions, which represent the presence of flux at the tumor. Different parameters of the model are modified to identify key biological factors relevant to the behavior of
Álvarez-Caudevilla P, Brändle C, Encinas E.   +2 more
europepmc   +2 more sources

The mountain pass theorem on subsystems of second order arithmetic [PDF]

Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona. Curs: 2023-2024. Tutor: David Fernández-DuqueThe main goal of this work is to formalize the Mountain Pass Theorem of Ambrosetti and Rabinowitz within ...
Aguilar Enríquez, Miguel Alejandro
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Existence and multiplicity of solutions for a fourth-order differential system with instantaneous and non-instantaneous impulses

Open Mathematics, 2023
The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang, Zhang Xingyong, Xie Junping   +2 more
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents

Open Mathematics, 2023
In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
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A mountain pass theorem [PDF]

, 1985
Some variants of one of the main results in critical point theory, namely the mountain pass lemma by A. Ambrosetti and P. H. Rabinowitz [J. Funct. Anal. 14 (1973), 349-381], are proved in this paper. In this paper we prove that if X is finite-dimensional,
Serrin, James, J. SERRIN, Pucci, Patrizia   +2 more
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The mountain pass alternative [PDF]

, 1991
We present a form of the mountain pass lemma which allows one to restrict the paths to a bounded region. As a result one obtains an alternative. One obtains a critical point or an eigenvalue.
Schechter, Martin
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Mountain Pass on a Closed Convex Set [PDF]

, 1997
A mountain pass lemma without the Palais–Smale condition on a closed convex subset of a Banach space is established. Then, we apply it to a semilinear elliptic partial differential equation to obtain one negative solution and a positive solution.
Ma, Li
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Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition

Boundary Value Problems, 2009
In this paper, we establish two different existence results of solutions for a nonlocal elliptic equations with nonlinear boundary condition. The first one is based on Galerkin method, and gives a priori estimate. The second one is based on Mountain Pass
Fanglei Wang, Yukun An
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The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in

Abstract and Applied Analysis, 2013
Using Mountain Pass lemma, under some appropriate assumptions, we establish the existence of one nontrivial solution for a class of p-Kirchhoff-type elliptic equations in .
Zonghu Xiu
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