Results 301 to 310 of about 1,101,646 (327)

On entire solutions to eikonal-type equations

Journal of Mathematical Analysis and Applications, 2022
Abstract This paper characterizes equivalence conditions on entire solutions to eikonal-type nonlinear partial differential equations u z 1 2 + u z 2 2 = p ( z 1 , z 2 ) e g ( z 1 , z 2 ) in C 2 with two polynomials g ( z 1 , z 2
Wei Chen, Qi Han
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Properties of entire solutions of differential equations [PDF]

Ukrainian Mathematical Journal, 2006
We investigate the close-to-convexity and l-index boundedness of entire solutions of the differential equations z 2 w″ + βzw′ + (γz 2 − β)w = 0 and zw″ + βw′ + γzw = 0.
Z. M. Sheremeta, M. M. Sheremeta
openaire   +1 more source

Entire solutions of eiconal type equations [PDF]

Archiv der Mathematik, 2007
The paper characterizes entire solutions to partial differential equations $$u_{z_{1}}^{2} + u_{z_{2}}^{2} = p$$ for polynomials p in $${\mathbb{C}}^2$$ .
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Entire solutions of quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2007
Abstract We consider the existence of entire solutions of a quasilinear elliptic equation div ( | D u | p − 2 D u ) = k ( x ) f ( u ) , x ∈ R N , where p > 1 , N ∈ N . Conditions of the existence of entire solutions have been obtained by different authors. We prove an optimality of
Nickolai Slepchenkov, Alexander Gladkov
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ON EXPLICIT RADIAL ENTIRE AND NON-ENTIRE SOLUTIONS

Progress in Analysis, 2003
Vinod B. Goyal, Philip W. Schaefer
openaire   +2 more sources

Entire solution of the degenerate Fisher equation

Acta Mathematicae Applicatae Sinica, English Series, 2017
This paper deals with the solutions defined for all time of the degenerate Fisher equation. Some solutions are obtained by considering two traveling fronts with critical speed that come from both sides of the X-axis and mix. Unfortunately, the entire solutions which behave as two opposite wave fronts with non-critical speed approaching each other from ...
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A Note on Entire Solutions of the Eiconal Equation

The American Mathematical Monthly, 1995
A1< 2| [u2(sin2s-COS2S)2uusinscoss-u2sin2s+1]ds. (S) The product 2uu is the derivative of u2; integrating by parts changes (5) into 1 v A1< 21 (1-u2sin2s)ds, clearly < Fr/2. Equality holds only if u O, which makes y(s) constant sin s. Since equality in (3) holds only if y = x = 21 _ y2, y(5) _ sin s, x(s) + cos s + constant. This is a semicircle. Q.e.d.
openaire   +2 more sources

New surgery approaches preserving entire papilla to treat isolated interdental intrabony defects: A narrative review

Clinical and Experimental Dental Research, 2021
Xiyan Pei
exaly  

Injury risks among elite competitive alpine skiers are underestimated if not registered prospectively, over the entire season and regardless of whether requiring medical attention

Knee Surgery, Sports Traumatology, Arthroscopy, 2021
Rejane Maria Tommasini Grotto, Stefan Fröhlich, Walter Karlen   +2 more
exaly  

Triboelectric nanogenerator for entire stroke energy harvesting with bidirectional gear transmission

Nano Energy, 2020
Tinghai Cheng, Zhong Lin Wang
exaly