Results 11 to 20 of about 1,426,786 (167)

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

open access: yes
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
core   +7 more sources

Le « Mountain Pass Theorem »

open access: yes, 2022
The "sente" (Latin semita, from se- (“apart”) and from the radical *mi, from meo (“to go”) has more to do with the weft, the crossroads, than with feeling or sensations.
Parrochia, Daniel
core   +2 more sources

Infinitely many homoclinic solutions for a class of nonlinear difference equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some
Peng Chen, Zhengmei Wang
doaj   +1 more source

Existence of Multiple Solutions for a Class of Biharmonic Equations

open access: yesDiscrete Dynamics in Nature and Society, 2013
By a symmetric Mountain Pass Theorem, a class of biharmonic equations with Navier type boundary value at the resonant and nonresonant case are discussed, and infinitely many solutions of the equations are obtained.
Chunhan Liu, Jianguo Wang
doaj   +1 more source

Multiple Solutions for Second-Order Sturm–Liouville Boundary Value Problems with Subquadratic Potentials at Zero

open access: yesJournal of Mathematics, 2021
We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x,  a.e. t∈0,1x0cos  α−P0x′0sin  α=0x1cos  β−P1x′1sin  β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely ...
Dan Liu, Xuejun Zhang, Mingliang Song
doaj   +1 more source

Multiple Solutions for a Class of Fractional Schrödinger-Poisson System

open access: yesJournal of Function Spaces, 2019
We investigate a class of fractional Schrödinger-Poisson system via variational methods. By using symmetric mountain pass theorem, we prove the existence of multiple solutions.
Lizhen Chen, Anran Li, Chongqing Wei
doaj   +1 more source

Existence and multiplications of solutions for a class of equation with a non-smooth potential [PDF]

open access: yesJournal of Hyperstructures, 2015
This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a ...
Fariba Fattahi, M. Alimohammady
doaj   +1 more source

Symplectic duality of Symmetric Spaces [PDF]

open access: yes, 2008
We show that between symmetric spaces of different types there exists a bi-symplectic map.
Loi, Andrea   +4 more
core   +1 more source

lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods

open access: yesOpen Mathematics, 2017
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in ...
Li Peiluan, Shang Youlin
doaj   +1 more source

Multiplicity of solutions for quasilinear elliptic problems involving $\Phi$-Laplacian operator and critical growth

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper, we study a class of quasilinear elliptic equations with $\Phi$-Laplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists $\lambda_i>0 ...
Xuewei Li, Gao Jia
doaj   +1 more source

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