Results 81 to 90 of about 7,949 (154)

Infinitely many weak solutions for a p-Laplacian equation with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2007
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Delta _{p}u+a(x)|u|^{p-2} u=f(x,u) quad mbox{in }Omega, cr | abla u|^{p-2} frac{partial u}{partial u}=g(x,u) quad mbox{on } partialOmega, }$$ where ...
Pei-Hao Zhao, Ji-Hong Zhao
doaj  

Existence and multiplicity of solutions for Dirichlet problems involving the p(x)-Laplace operator

Electronic Journal of Differential Equations, 2013
In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition.
Mustafa Avci
doaj  

GCNSA: DNA storage encoding with a graph convolutional network and self-attention. [PDF]

iScience, 2023
Cao B, Wang B, Zhang Q.
europepmc   +1 more source

Infinitely many solutions for an elliptic system with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2001
In this paper we prove the existence of infinitely many nontrivial solutions of the system $Delta u = u, Delta v = v,$ with nonlinear coupling at the smooth boundary of a bounded domain of $mathbb{R}^N$.
Julian Fernandez Bonder, Juan Pablo Pinasco, Julio D. Rossi   +2 more
doaj  

Existence and non-existence of solutions for a p(x)-biharmonic problem

Electronic Journal of Differential Equations, 2015
In this article, we study the following problem with Navier boundary conditions $$\displaylines{ \Delta (|\Delta u|^{p(x)-2}\Delta u)+|u|^{p(x)-2}u =\lambda |u|^{q(x)-2}u +\mu|u|^{\gamma(x)-2}u\quad \text{in } \Omega,\cr u=\Delta u=0 \quad \text{on
Ghasem A. Afrouzi, Maryam Mirzapour, Nguyen Thanh Chung   +2 more
doaj  

Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential

Boundary Value Problems
In this paper, we study the multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential. First, by using some ideas of the fountain theorem, we define a sequence of minimax values, and then we ...
Xinsheng Du, Shanshan Wang
doaj   +1 more source

A modified version of diagonal systematic sampling in the presence of linear trend. [PDF]

PLoS One, 2022
Azeem M.
europepmc   +1 more source

Infinitely many large energy solutions of superlinear Schrodinger-Maxwell equations

Electronic Journal of Differential Equations, 2012
In this article we study the existence of infinitely many large energy solutions for the superlinear Schrodinger-Maxwell equations $$displaylines{ -Delta u+V(x)u+ phi u=f(x,u) quad hbox{in }mathbb{R}^3,cr -Delta phi=u^2, quad hbox{in }mathbb{R}^3, }
Lin Li, Shang-Jie Chen
doaj  

Cross-sectional associations between serum PFASs and inflammatory biomarkers in a population exposed to AFFF-contaminated drinking water. [PDF]

Int J Hyg Environ Health, 2022
Barton KE, Zell-Baran LM, DeWitt JC, Brindley S, McDonough CA, Higgins CP, Adgate JL, Starling AP.   +7 more
europepmc   +1 more source

Existence and multiplicity of periodic solutions generated by impulses for second-order Hamiltonian system

Electronic Journal of Differential Equations, 2014
In this article, we study the existence of non-zero periodic solutions for Hamiltonian systems with impulsive conditions. By using a variational method and a variant fountain theorem, we obtain new criteria to guarantee that the system has at least ...
Dan Zhang, Qinghua Wu, Binxiang Dai
doaj