Results 51 to 60 of about 110 (85)

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

Infinitely Many Solutions for Critical Degenerate Kirchhoff Type Equations Involving the Fractional p-Laplacian

open access: yes, 2020
In this paper we study a class of critical Kirchhoff type equations involving the fractional p-Laplacian operator, that is M R2N | u( x) - u( y)| p | x - y| N+ ps dxdy (- ) s pu=.w( x)| u| q- 2u + | u| p * s - 2u, x.
Fiscella, Alessio   +2 more
core   +1 more source

Multiple solutions for a nonhomogeneous quasilinear sub-elliptic system with critical growth and logarithmic perturbation

open access: yesDemonstratio Mathematica
The interest of this paper is that we use the critical point theory to prove the existence of a sequence of non-trivial solutions for a class of nonhomogeneous quasilinear Sub-elliptic systems with critical growth and logarithmic perturbation.
An Yu-Cheng, An Bi-Jun
doaj   +1 more source

Finding critical points whose polarization is also a critical point

open access: yes, 2012
We show that near any given minimizing sequence of paths for the mountain pass lemma, there exists a critical point whose polarization is also a critical point. This is motivated by the fact that if any polarization of a critical point is also a critical
Van Schaftingen, Jean, Squassina, Marco
core  

Multiplicity of solutions for elliptic boundary value problems

open access: yesElectronic Journal of Differential Equations, 2014
In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation $-\Delta u+a(x)u=f(x,u)$ in a bounded domain of $\mathbb{R}^N$ $(N\geq 3)$ with the Dirichlet boundary conditions, where the primitive of the ...
Yiwei Ye
doaj  

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

open access: yes, 2017
In this article we study a class of Kirchhoff-type Schrödinger-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 ...
Liang, Sihua, Radulescu, Vicentiu
core  

Soluções radiais para uma classe de equações de Hénon

open access: yes, 2015
In this work, we demonstrate the existence of radial solution for a class of problems related to Dirichlet Hénon equation. We present problems involving both the subcritical case as critical.
Rodrigues, Caio Ilan Ferreira
core  

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