Results 11 to 20 of about 1,101,646 (327)
Entire solutions of the spruce budworm model [PDF]
Advances in Difference Equations, 2018 Abstract This paper is concerned with the entire solutions of the spruce budworm model, i.e., solutions defined for all (x,t)∈R2 $(x,t)\in \mathbb{R}^{2}$. Using the comparison argument and sub-super-solution method, three types of the entire solutions are obtained, and each one of them behaves like two traveling fronts that come from both sides of the
Lina Wang
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Entire invariant solutions to Monge-Ampère equations [PDF]
Proceedings of the American Mathematical Society, 2004 We prove existence and regularity of entire solutions to Monge-Ampère equations invariant under an irreducible action of a compact Lie group.
Roger Bielawski
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Entire positive solution to the system of nonlinear elliptic equations [PDF]
Boundary Value Problems, 2006 The second-order nonlinear elliptic system , with , is considered in . Under suitable hypotheses on functions , , , and , it is shown that this system possesses an entire positive solution such that both and are bounded below and above by positive ...
Qiu Lingyun, Yao Miaoxin
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Nonexistence of radial entire solutions of elliptic systems [PDF]
Journal of Differential Equations, 2003 In this paper we study nonexistence of entire radial solutions of elliptic systems having a diffusion term depending on the solution inside the divergence. This term could be singular or degenerate giving to the problem an intrinsic difficulty.
Roberta Filippucci
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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
Large energy entire solutions for the Yamabe equation
Journal of Differential Equations, 2011 AbstractWe consider the Yamabe equation Δu+n(n−2)4|u|4n−2u=0 in Rn, n⩾3. Let k⩾1 and ξjk=(e2jπik,0)∈Rn=C×Rn−2. For all large k we find a solution of the form uk(x)=U(x)−∑j=1kμk−n−22U×(μk−1(x−ξj))+o(1), where U(x)=(21+|x|2)n−22, μk=cnk2 for n⩾4, μk=ck2(logk)2 for n=3 and o(1)→0 uniformly as k→+∞.
Frank Pacard +4 more
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A remark on entire solutions of quasilinear elliptic equations
Journal of Differential Equations, 2011 AbstractBy applying a main comparison theorem of Pucci and Serrin (2007) [2] we cover, for general equations of p-Laplace type, the open cases of Theorems B, D, E of Farina and Serrin (submitted for publication) [1] as described in Problems 2 and 3 of Section 12 of Farina and Serrin (submitted for publication) [1].
PUCCI, Patrizia, J. SERRIN
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Entire solutions of certain type of differential equations II
Journal of Mathematical Analysis and Applications, 2008 AbstractWe analyze the transcendental entire solutions of the following type of nonlinear differential equations: fn(z)+P(f)=p1eα1z+p2eα2z in the complex plane, where p1, p2 and α1, α2 are nonzero constants, and P(f) denotes a differential polynomial in f of degree at most n−1 with small functions of f as the coefficients.
Ping Li
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On the growth of entire solution of a nonlinear differential equation [PDF]
Mathematica Bohemica, 2020 In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results.
Indrajit Lahiri, Shubhashish Das
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AIMS Mathematics, 2021 By making use of the Nevanlinna theory and difference Nevanlinna theory of several complex variables, we investigate some properties of the transcendental entire solutions for several systems of partial differential difference equations of Fermat type ...
Hong Li , Keyu Zhang, Hongyan Xu
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