Results 11 to 20 of about 2,542,949 (203)
Entire invariant solutions to Monge-Ampere equations [PDF]
arXiv, 2002 We prove existence and regularity of entire solutions to Monge-Ampere equations invariant under an irreducible action of a compact Lie group.
Roger Bielawski
arxiv +3 more sources
Entire solutions of Donaldson's equation [PDF]
arXiv, 2010 In this short note we shall construct infinite many nontrivial entire solutions to Donaldson's equation. We shall also prove a Liouville type theorem for entire solutions of the Donaldson equation. We believe that one should be able to classify all entire solutions of the Donaldson equation.
Weiyong He
arxiv +3 more sources
Entire solutions for a reaction-diffusion equation with doubly degenerate nonlinearity. [PDF]
Adv Differ Equ, 2018 This paper is concerned with the existence of entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity. Here the entire solutions are the classical solutions that exist for all (x,t)∈R2 $(x,t)\in \mathbb{R}^{2}$.
Yan R, Li X.
europepmc +2 more sources
Even Symmetry of Some Entire Solutions to the Allen-Cahn Equation in Two Dimensions [PDF]
arXiv, 2011 In this paper, we prove even symmetry and monotonicity of certain solutions of Allen-Cahn equation in a half plane. We also show that entire solutions with {\it finite Morse index} and {\it four ends} must be evenly symmetric with respect to two orthogonal axes.
Changfeng Gui
arxiv +2 more sources
Entire solutions for some critical equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2022 We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no.
Patrizia Pucci, Letizia Temperini
doaj +1 more source
Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2019 In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
doaj +1 more source
Liouville Theorems for Fractional Parabolic Equations
Advanced Nonlinear Studies, 2021 In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for
Chen Wenxiong, Wu Leyun
doaj +1 more source
Distributional and entire solutions of linear functional differential equations
International Journal of Mathematics and Mathematical Sciences, 1982 A unified approach to the study of generalized-function and entire solutions to linear functional differential equations with polynomial coefficients is suggested.
Joseph Wiener
doaj +1 more source
Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Mathematics in Engineering, 2020 In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime.
Nicola Soave
doaj +1 more source
AN EXISTENCE RESULT FOR SYSTEMS THAT APPEAR IN [PDF]
Fiabilitate şi Durabilitate, 2012 Many of the engineering developments often occur as a result of the intersection betweenscientific communities with system of differential equations. They, although discussed in manypapers from the specialized literature, still are not completely solved.
Dragoş-Pătru COVEI
doaj