Results 51 to 60 of about 1,049 (122)

Lions-type theorem of the p-Laplacian and applications

Advances in Nonlinear Analysis, 2021
In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.
Su Yu, Feng Zhaosheng
doaj   +1 more source

Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution? [PDF]

, 2013
A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain ...
Tchuenche, Jean M.
core  

Noether Symmetries and Critical Exponents

, 2005
We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and ...
Bozhkov, Yuri
core   +2 more sources

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

Boundary Value Problems, 2014
This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence ...
Li Li, Kai Chen
semanticscholar   +1 more source

Ground state solutions for a class of fractional Schrodinger-Poisson system with critical growth and vanishing potentials

Advances in Nonlinear Analysis, 2021
In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
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A multiplicity result for a fractional Kirchhoff equation in $\mathbb{R}^{N}$ with a general nonlinearity

, 2017
In this paper we deal with the following fractional Kirchhoff equation \begin{equation*} \left(p+q(1-s) \iint_{\mathbb{R}^{2N}} \frac{|u(x)- u(y)|^{2}}{|x-y|^{N+2s}} \, dx\,dy \right)(-\Delta)^{s}u = g(u) \mbox{ in } \mathbb{R}^{N}, \end{equation*} where
Ambrosio, Vincenzo, Isernia, Teresa
core   +1 more source

New periodic solutions of singular Hamiltonian systems with fixed energies

Journal of Inequalities and Applications, 2014
By using the variational minimizing method with a special constraint and the direct variational minimizing method without constraint, we study second-order Hamiltonian systems with a singular potential V∈C2(Rn∖O,R) and V∈C1(R2∖O,R), which may have an ...
Fengying Li, Qingqing Hua, Shenmin Zhang
semanticscholar   +1 more source

Periodic solutions for a coupled system of wave equations with x-dependent coefficients

Advanced Nonlinear Studies
This paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media.
Deng Jiayu, Ji Shuguan
doaj   +1 more source

On the singularly perturbation fractional Kirchhoff equations: Critical case

Advances in Nonlinear Analysis, 2022
This article deals with the following fractional Kirchhoff problem with critical exponent a+b∫RN∣(−Δ)s2u∣2dx(−Δ)su=(1+εK(x))u2s∗−1,inRN,\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}| {\left(-\Delta )}^{\tfrac{s}{2}}u\hspace{-0.25em}{| }^{2}{\rm{d ...
Gu Guangze, Yang Zhipeng
doaj   +1 more source

SOLITARY WAVE SOLUTIONS FOR A CLASS OF DISPERSIVE EQUATIONS

, 2015
The focus of the present work is the one-dimensional nonlinear equation ut − uxxt + ux + uxxx + αuux = λ(uuxxx + 2uxuxx), (1) modeling the wave breaking phenomenon in the shallow water regime.
A. Montes
semanticscholar   +1 more source