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Published
**1997** by W. de Gruyter in Berlin, New York .

Written in English

Read online- Differential equations, Elliptic -- Numerical solutions.,
- Boundary value problems -- Numerical solutions.,
- Bifurcation theory.

**Edition Notes**

Includes bibliographical references (p. [209]-213) and index.

Statement | Pavel Drábek, Alois Kufner, Francesco Nicolosi. |

Series | De Gruyter series in nonlinear analysis and applications,, 5 |

Contributions | Kufner, Alois., Nicolosi, Francesco, 1938- |

Classifications | |
---|---|

LC Classifications | QA377 .D76 1997 |

The Physical Object | |

Pagination | xii, 219 p. ; |

Number of Pages | 219 |

ID Numbers | |

Open Library | OL671313M |

ISBN 10 | 3110154900 |

LC Control Number | 97017293 |

**Download Quasilinear elliptic equations with degenerations and singularities**

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-->This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower. In this paper, we discuss the nonexistence of positive solutions for nonlinear elliptic equations with singularity on the boundary in infinite strip-like domains.

The main results are the nonexistence in eigen-value and sub principal case and they are shown by giving an argument concerning the simplicity of the first eigenvalue for generalized eigenvalue problems combined Author: Takahiro Hashimoto. Citation Information.

Quasilinear Elliptic Equations with Degenerations and Singularities. DE GRUYTER. Pages: – ISBN (Online): DiBenedetto, Degenerate parabolic equations. Springer-Verlag, New York, F.

Nicolosi, Quasilinear elliptic equations with degenerations and singularities, Walter de Gruyter, Berlin. Giaquinta, Mariano Multiple integrals in the calculus of variations and nonlinear elliptic An eigenvalue problem for quasilinear elliptic.

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Singularities of Solutions of Second-Order Quasilinear Equations - CRC Press Book This text examines the singularity problem for solutions of elliptic and parabolic quasilinear equations. Book Description. This text examines the singularity problem for solutions of elliptic and parabolic quasilinear equations of second order.

Table of Contents. PART I - ELLIPTIC EQUATIONS - Chapter I: Serrin's theory of singularities: The linear equations, Removable singularities for quasilinear equations, The characterisation of isolated.

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We establish the best possible condition for point singularities to be removable for nonlinear elliptic equations in divergent form with lower order terms from the non-linear Kato classes. We consider resonance problems at an arbitrary eigenvalue of the p-Laplacian, and prove the existence of weak solutions assuming a standard Landesman–Lazer use variational arguments to characterize certain eigenvalues and then to establish the solvability of the given boundary value by: Quasilinear Elliptic Equations with Neumann Boundary and Singularity Article in Acta Mathematicae Applicatae Sinica 25(4) October with 9.

Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J. Diff. Equ. 51 (), – CrossRef zbMATH MathSciNet Google Scholar Cited by: 9.

Generating Singularities of Solutions of Quasilinear Elliptic Equations Using Wolff's Potential Article in Czechoslovak Mathematical Journal 53(2) January with 10 ReadsAuthor: Darko Žubrinić.

Recently, Liskevich and Skrypnik [8, 9] established the best possible conditions for isolated singularities to be removable for general quasilinear equations, supposing that the.

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Abstract Book Emerging issues in nonlinear elliptic equations: singularities, singular perturbations and non local problems - — Będlewo Organizers Oscar Agudelo Pavel Drabek Michał Kowalczyk Angela Pistoia Piotr Rybka Ahmad Sabra List of participants Oscar Agudelo Thomas Bartsch Peter Bates Luca Battaglia.

It deals with the use of pseudodifferential operators as a tool in nonlinear PDE. One goal has been to build a bridge between two approaches that have been used in a number of works, one being the theory of paradifferential operators, introduced by J.-M.

Bony, the other the study of pseudodifferential operators whose symbols have limited. Member of the Editorial Board: Complex Variables and Elliptic Equations.

Associate Member of the Editorial Board: Nonlinear Analysis Theory, Methods and Applications. Author with P. Drabek and A. Kufner of the book: Quasilinear Elliptic Equations with Degenerations and Singularities,Gruyter Series in Nonlinear Analysis and Applications ().

Nonexistence of positive solutions of quasilinear elliptic equations with singularity on the boundary in strip-like domains. Conference Publications,(Special): Author: Yimei Li, Jiguang Bao. Bartsch, T., Peng, S., Zhang, Z. Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities.

Calc. Var. Partial Differential Equations, – () zbMATH CrossRef MathSciNet Google ScholarCited by: 2. PART I - ELLIPTIC EQUATIONS - Chapter I: Serrin's theory of singularities: The linear equations, Removable singularities for quasilinear equations, The characterisation of isolated singularities; Chapter 2: Semilinear equations with superlinear absorption: Removable singularities, The isotropy theorems, The classification theorem, Anisotropic singularities, Asymptotic behaviour and the connexion problem; Chapter 3: Semilinear equations with superlinear.

Drábek, A. Kufner, and F. Nicolosi, “Quasilinear Elliptic Equations with Degenerations and Singularities”, Gruyter Series in Nonlinear Analysis and Applications 5, Walter de Gruyter & Co., Berlin, Google ScholarCited by: 7. Let 1 quasilinear p-Laplace elliptic equation has singularity of order γ ∈ (p, 1 + N/p′) at a point x 0 ∈ Ω, then each supersolution which is essentially bounded from below on a neighborhood of x 0, has singularity of order γ − p p − 1 at x er, we obtain an explicit and sharp lower bound of the supersolution in the neighborhood of x by: 6.

In this paper, we investigate the existence and uniqueness of weak solutions for a new class of initial/boundary-value parabolic problems with nonlinear perturbation term in weighted Sobolev space. By building up the compact imbedding in weighted Sobolev space and extending Galerkin’s method to a new class of nonlinear problems, we drive out that there exists at least Author: Meilan Qiu, Liquan Mei.

The Nehari Manifold for a Class of Elliptic Equations of P-laplacian Type @inproceedings{KhademlooTheNM, title={The Nehari Manifold for a Class of Elliptic Equations of P-laplacian Type}, author={Somayeh Khademloo and H. Mohammadnia}, year={} } Somayeh Khademloo, H.

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Two positive solutions for quasilinear elliptic equations with singularity and critical exponents. Author: Yanbin Sang, Xiaorong Luo, Zongyuan Zhu. This book includes a-priori estimates (well-posedness, regularity, and Fredholm property) for these singular solutions of general elliptic equations in weighted Sobolev spaces, as well as effective finite element schemes and corresponding multigrid estimates.

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