Results 41 to 50 of about 1,158,853 (105)

Mountain pass techniques for some classes of nonvariational problems

open access: yes, 2009
Existence results are presented for classical solutions to some nonvariational problems through a suitable approximation method of Mountain Pass critical ...
Matzeu, M   +6 more
core   +1 more source

Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions

open access: yesDiscrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
In this article, we consider a class of nonlocal p(x)‐Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity of solutions.
Jie Liu, Qing Miao, Rigoberto Medina
wiley   +1 more source

Deformation Lemma, Ljusternik-Schnirellmann Theory and Mountain Pass Theorem on C1-Finsler Manifolds [PDF]

open access: yes, 1995
Let M be a complete C1−Finsler manifold without boundary and f : M → R be a locally Lipschitz function. The classical proof of the well known deformation lemma can not be extended in this case because integral lines may not exist.
Tsachev, Tsvetomir   +2 more
core   +1 more source

Multiplicity Results for a (p1(x), p2(x))‐Laplacian Equation via Variational Methods

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
We prove the existence and multiplicity of nontrivial weak solutions for the following (p1(x), p2(x))‐Laplacian equation involving variable exponents: −div∇up1x−2∇u−div∇up2x−2∇u+up2x−2u=λhx,u,inΩ,u=0,on∂Ω. Using Ricceri’s variational principle, we show the existence of at least three weak solutions for the problem.
A. Rezvani, Dengfeng Lü
wiley   +1 more source

Existence of Multiple High‐Energy Solutions for a Kind of Superlinear Second‐Order Elliptic Equations

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we intend to consider infinitely many high energy solutions for a kind of superlinear Klein–Gordon–Maxwell systems. Under some suitable assumptions on the potential function and nonlinearity, by using variational methods and the method of Nehari manifold, we obtain the existence result of infinitely many high energy solutions for this ...
Fangfang Huang   +2 more
wiley   +1 more source

Multiplicity of ground state solutions for discrete nonlinear Schrodinger equations with unbounded potentials

open access: yesElectronic Journal of Differential Equations, 2017
The discrete nonlinear Schrodinger equation is a nonlinear lattice system that appears in many areas of physics such as nonlinear optics, biomolecular chains and Bose-Einstein condensates.
Xia Liu, Tao Zhou, Haiping Shi
doaj  

Periodic and Antiperiodic Solutions for a Second‐Order Hamiltonian System With Nonlinearity Depending on Derivative

open access: yesJournal of Function Spaces, Volume 2024, Issue 1, 2024.
Some existence results of periodic solution are obtained for a class of second‐order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0 > 0 such that, for any T < T0, the provided Hamiltonian system has a nontrivial T‐periodic and T/2‐antiperiodic solution via linking theorem and iteration method.
Wenxiong Chen   +2 more
wiley   +1 more source

Existence of infinitely many solutions for degenerate Kirchhoff-type Schrodinger-Choquard equations

open access: yesElectronic Journal of Differential Equations, 2017
In this article we study a class of Kirchhoff-type Schrodinger-Choquard equations involving the fractional p-Laplacian. By means of Kajikiya's new version of the symmetric mountain pass lemma, we obtain the existence of infinitely many solutions ...
Sihua Liang, Vicentiu D. Radulescu
doaj  

A symmetric monoidal Comparison Lemma [PDF]

open access: yes
In this note we study symmetric monoidal functors from a symmetric monoidal 1-category to a cartesian symmetric monoidal $\infty$-category, which are in addition hypersheaves for a certain topology. We prove a symmetric monoidal version of the Comparison
Kuijper, Josefien
core   +1 more source

Exchange rate pass-through to trade prices: the role of non-linearities and asymmetries [PDF]

open access: yes
A standard assumption in the empirical literature is that exchange rate pass-through is both linear and symmetric, implying that (a) large and small exchange rate changes and (b) appreciations and depreciations have an effect of the same magnitude ...
Bussière, Matthieu
core  

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