8 edition of **Entire solutions of semilinear elliptic equations** found in the catalog.

- 182 Want to read
- 40 Currently reading

Published
**1997** by Birkhäuser in Basel, Boston .

Written in English

- Differential equations, Elliptic.,
- Reaction-diffusion equations.,
- Mathematical physics.

**Edition Notes**

Includes bibliographical references (p. [243]-248) and index.

Statement | I. Kuzin, S. Pohozaev. |

Series | Progress in nonlinear differential equations and their applications ;, v. 33 |

Contributions | Pokhozhaev, S. I. |

Classifications | |
---|---|

LC Classifications | QA377 .K89 1997 |

The Physical Object | |

Pagination | vi, 250 p. : |

Number of Pages | 250 |

ID Numbers | |

Open Library | OL688723M |

ISBN 10 | 3764353236, 0817653236 |

LC Control Number | 97035743 |

Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in ℝN. Complex Variables and Elliptic Equations, Vol. 61, Issue. 7, p. Complex Variables and Elliptic Equations, Vol. 61, Issue. 7, p. Cited by: New entire solutions to some classical semilinear elliptic problems. Proceedings of the International Congress of Mathematicians. Volume III, –, Hindustan Book Agency, New Delhi, Similar examples are provided by higher order travelling wave equations and stationary solutions of semilinear Schr¨odinger equations in higher dimension. Also some non-local models in Fluid Dynamics, suggested by Bona, provide travelling waves equations, which can be seen as semilinear perturbations of SG-elliptic pseudo-diﬀerential operators.

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Semilinear elliptic equations play an important role in many areas of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev identities for the description of sharp estimates for radial solutions and the fibring method.

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We study the existence of positive solutions for fractional elliptic equations of the type (-Δ) 1/2 u = h(u), u > 0 in (-1,1), u = 0 in ℝ∖(-1,1) where h is a real valued function that behaves like e u 2 as u → ∞. Here (-Δ) 1/2 is the fractional Laplacian operator. We show the existence of mountain-pass solution when the nonlinearity is superlinear near t = by: Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity The higher integrability of weak solutions of porous medium systems Classification of stable solutions for boundary value problems with nonlinear boundary conditions on.

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There are carefully analyzed logistic type equations with boundary blow-up solutions and generalized Lane-Emden-Fowler equations or Gierer-Meinhardt systems with singular nonlinearity in anisotropic media.

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[] Existence of ground states for semilinear elliptic equations with decaying mass: a parabolic approach (with Qi S. Zhang), C. Acad. Paris,Série I (), [] Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire (with M.

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[55] F. Pacard and P. Sicbaldi. Extremal domains for the first eigenvalue of the Laplace-Beltrami operator. On the positive radial solutions of some semilinear elliptic equations on Rn, Appl.

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The book is an account on recent advances in elliptic and parabolic problems and related equations, including general quasi-linear equations, variational structures, Bose-Einstein condensate, Chern–Simons model, geometric shell theory and stability in fluids.

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Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side. Differential Equations –48, Existence and multiplicity results for semilinear elliptic equations at resonance Tang, Yue, Tang, Chun-Lei, and Wu, Xing-Ping, Bulletin of the Belgian Mathematical Society - Simon Stevin, On the existence of positive entire solutions of nonlinear elliptic equations Squassina, Marco, Topological Methods in Nonlinear Analysis, Cited by:.

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Semilinear elliptic equations play an Brand: Springer Science+Business Media.Cirstea, F., Du, Y. (). Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Journal of Functional Analysis, (2), [More Information] Cirstea, F., Radulescu, V.

(). Boundary blow-up in nonlinear elliptic equations of Bieberbach-Rademacher type.J Differential Equations,CrossRef Google Scholar [5] Alves C O, Figueiredo G M. On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in $\mathbb{R}^N$.