Results 41 to 50 of about 76 (76)

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  

Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems

open access: yesElectronic Journal of Differential Equations, 2019
We study the Kirchhoff-Schrodinger-Poisson system $$\displaylines{ m([u]_{\alpha}^2)(-\Delta)^\alpha u+V(x)u+k(x)\phi u = f(x,u), \quad x\in\mathbb{R}^3,\cr (-\Delta)^\beta \phi = k(x)u^2, \quad x\in\mathbb{R}^3, }$$ where $[\cdot]_{\alpha ...
Jose Carlos de Albuquerque   +2 more
doaj  

Fast homoclinic solutions for damped vibration problems under local conditions

open access: yesJournal of Inequalities and Applications
In this paper, we study the fast homoclinic solutions for the following damped vibration problems u ¨ ( t ) + q ( t ) u ˙ ( t ) − L ( t ) u ( t ) + ∇ W ( t , u ( t ) ) = 0 $\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0$ , ∀ t ∈ R $\forall t \in \
Wen-Kai Li   +3 more
doaj   +1 more source

Infinitely many solutions for Schrodinger-Kirchhoff type equations involving the fractional p-Laplacian and critical exponent

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrodinger-Kirchhoff type equation $$ M([u]_{s, p}^p) (-\Delta )_p^s u+V(x)|u|^{p-2}u= \alpha |u|^{ p_s^{*}-2 }u+\beta k(x)|u|^{q-2}u ...
Li Wang, Binlin Zhang
doaj  

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  

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