Results 1 to 10 of about 10,090,746 (128)
Rigidity for general semiconvex entire solutions to the sigma-2 equation [PDF]
Duke mathematical journal, 2021 We show that every general semiconvex entire solution to the sigma-2 equation is a quadratic polynomial. A decade ago, this result was shown for almost convex solutions.
R. Shankar, Yu Yuan
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Entire solutions for some critical equations in the Heisenberg group
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.
P. Pucci, Letizia Temperini
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Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
Discrete and Continuous Dynamical Systems. Series A, 2021 We deal with the bistable reaction-diffusion equation in an infinite star graph, which consists of several half-lines with a common end point. The aim of our study is to show the existence of front-like entire solutions together with the asymptotic ...
S. Jimbo, Y. Morita
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, 2021 This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
H. Xu, D. Meng, S. Liu, Hua Wang
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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Jun Luo, H. Xu, Fen Hu
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Entire solutions of hydrodynamical equations with exponential dissipation [PDF]
, 2009 We consider a modification of the three-dimensional Navier--Stokes equations and other hydrodynamical evolution equations with space-periodic initial conditions in which the usual Laplacian of the dissipation operator is replaced by an operator whose ...
A. Doelman +31 more
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Entire solutions and a Liouville theorem for a class of parabolic equations on the real line
, 2020 We consider a class of semilinear heat equations on R, including in particular the Fujita equation ut = uxx + |u|p−1u, x ∈ R, t ∈ R, where p > 1. We first give a simple proof and an extension of a Liouville theorem concerning entire solutions with finite
P. Polácik
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LIMITING DIRECTIONS FOR ENTIRE SOLUTIONS OF A
Mathematical reportsLet us consider f as being an entire solution of the differential-difference equation G(z, f)+h(z)fm(z) = 0, (m ∈ N), where h(z) is a transcendental entire function and G(z, f) is a differential-difference polynomial in f with entire coefficients.
Yezhou Li, Zhixue Liu, Heqing Sun
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Nonradial entire solutions for Liouville systems
, 2017 We consider the following system of Liouville equations: $$\left\{\begin{array}{ll}-\Delta u_1=2e^{u_1}+\mu e^{u_2}&\text{in }\mathbb R^2\\-\Delta u_2=\mu e^{u_1}+2e^{u_2}&\text{in }\mathbb R^2\\\int_{\mathbb R^2}e^{u_1}
Battaglia, Luca +2 more
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Entire solutions to equations of minimal surface type in six dimensions [PDF]
Journal of the European Mathematical Society (Print), 2019 We construct nonlinear entire solutions in $\mathbb{R}^6$ to equations of minimal surface type that correspond to parametric elliptic functionals.
Connor Mooney
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