Results 51 to 60 of about 772 (98)

On Symmetry of Minimizers in Constrained Quasi-Linear Problems, 1 [PDF]

arXiv, 2010
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization ...
arxiv  

Energy-variational solutions for viscoelastic fluid models

Advances in Nonlinear Analysis
In this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo, Lasarzik Robert, Rocca Elisabetta   +2 more
doaj   +1 more source

Standing-wave solutions to a system of non-linear Klein–Gordon equations with a small energy/charge ratio

Advances in Nonlinear Analysis, 2014
We prove the existence of standing-wave solutions to a system of non-linear Klein–Gordon equations on ℝN with N ≥ 3. Our solutions are characterised by a small energy/charge ratio, appropriately defined.
Garrisi Daniele
doaj   +1 more source

Perturbation results for some nonlinear equations involving fractional operators [PDF]

arXiv, 2012
By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.
arxiv  

Rayleigh quotients of the level set manifolds related to the nonlinear PDE [PDF]

arXiv, 2021
The main topic of this note is a discussion of applicability conditions of the Nehari manifold method depending on the value of parameters of equations. As the main tool, we apply the nonlinear generalized Rayleigh quotient method.
arxiv  

Existence results for nonhomogeneous Choquard equation involving p-biharmonic operator and critical growth

Demonstratio Mathematica
In this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
doaj   +1 more source

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Advances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia, Xiang Mingqi, Zhang Binlin   +2 more
doaj   +1 more source

Symmetry groups and Lagrangians associated to Tzitzeica surfaces [PDF]

arXiv, 1999
One applies the symmetry group theory for study the partial differential equations of Tzitzeica surfaces theory. One finds infinitesimal symmetries, Lagrangians and a new solution of Titzeica equation.
arxiv  

Multiple solutions of a nonlinear biharmonic equation on graphs [PDF]

arXiv, 2022
In this paper, we consider a biharmonic equation with respect to the Dirichlet problem on a domain of a locally finite graph. Using the variation method, we prove that the equation has two distinct solutions under certain conditions.
arxiv  

Existence of Solutions for Choquard Type Elliptic Problems with Doubly Critical Nonlinearities

Advanced Nonlinear Studies, 2021
In this article, we first study the existence of nontrivial solutions to the nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians and the Hardy–Sobolev–Maz’ya potential.
Shen Yansheng
doaj   +1 more source