Results 11 to 20 of about 366,215 (335)
Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization. [PDF]
PLoS ONEBy using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
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Elliptic equations with discontinuous nonlinearities
Topological Methods in Nonlinear Analysis, 1993 Walter Allergretto, Paolo Nistri
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Ellipticity and regularity for periodic nonlinear equations [PDF]
Proceedings of the American Mathematical Society, 1969 The composition of two strongly elliptic linear operators with suitably differentiable coefficients is also strongly elliptic. This fact has been used [3, pp. 178-181] to yield a particularly simple proof of the regularity of weak solutions of periodic strongly elliptic linear equations.
Robert Adams
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On an elliptic equation with concave and convex nonlinearities [PDF]
Proceedings of the American Mathematical Society, 1995 We study the semilinear elliptic equation − Δ u = λ | u | q − 2 u + μ | u |
Thomas Bartsch, Michel Willem
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Nonlinear elliptic equations and Gauss measure
Le Matematiche, 2006 We prove existence and regularity results for weak solutions to nonlinear elliptic equations.
Giuseppina Di Blasio, Filomena Feo
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Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]
Proceedings Mathematical Sciences, 2001 In this paper we study nonlinear elliptic boundary value problems with monotone and nonmonotone multivalued nonlinearities. First we consider the case of monotone nonlinearities. In the first result we assume that the multivalued nonlinearity is defined on all ℝ.
Fiacca A +3 more
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A spectral method for nonlinear elliptic equations [PDF]
Numerical Algorithms, 2016 26 pages.
Kendall Atkinson +2 more
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Massively parallel computation of globally optimal shortest paths with curvature penalization
Concurrency and Computation: Practice and Experience, Volume 35, Issue 2, 25 January 2023., 2023 Abstract We address the computation of paths globally minimizing an energy involving their curvature, with given endpoints and tangents at these endpoints, according to models known as the Reeds‐Shepp car (reversible and forward variants), the Euler‐Mumford elasticae, and the Dubins car. For that purpose, we numerically solve degenerate variants of the
Jean‐Marie Mirebeau +4 more
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Nonlinear elliptic equations on Carnot groups
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016 This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity (for the critical case we refer to G. Molica Bisci and D. Repov , Yamabe-type equations on Carnot groups, Potential Anal. 46:2 (2017), 369-383; arXiv:1705.10100 [math.AP]).
Ferrara M, Molica Bisci G, Repovs R
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The Cauchy problem for nonlinear elliptic equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 Abstract This paper is devoted to investigation of the Cauchy problem for nonlinear equations with a small parameter. They are actually small perturbations of linear elliptic equations in which case the Cauchy problem is ill-posed. To study the Cauchy problem we invoke purely nonlinear methods, such as successive iterations and L q ...
Ly, I., Tarkhanov, Nikolai Nikolaevich
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