Solition Solution for Quasilinear Elliptic Equations Involving the P-Laplacian in R[superscript N] PDF Download
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![Solition Solution for Quasilinear Elliptic Equations Involving the P-Laplacian in R[superscript N] PDF](https://books.google.com/books/content/images/frontcover/zzfvAAAAMAAJ?fife=w150-h200)
Author: Uberlandio Batista Severo
Publisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 24
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![Solition Solution for Quasilinear Elliptic Equations Involving the P-Laplacian in R[superscript N] PDF](https://books.google.com/books/content/images/frontcover/zzfvAAAAMAAJ?fife=w80-h100)
Author: Uberlandio Batista Severo
Publisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 24
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Author: M. C. Knaap
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Author: Thi Thu Huong Nguyen
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Existence and regularity of solutions of quasilinear elliptic equations in nonsmooth domains have been interesting topics in the development of partial differential equations. The existence of finite-energy solutions of higher-order equations, also those with degenerations and singularities, can be shown by theories of monotone operators and topological methods. There are few results about singular solutions of second-order equations involving the p-Laplacian with the Dirac distribution on the right-hand side. So far the existence of singular solutions of higher-order equations with a presc ...
Author: Diego Ricciotti
Publisher: Springer
ISBN: 331923790X
Category : Mathematics
Languages : en
Pages : 96
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Book Description
This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group. In particular, it presents detailed proofs of smoothness for solutions to the non-degenerate equation and of Lipschitz regularity for solutions to the degenerate one. An introductory chapter presents the basic properties of the Heisenberg group, making the coverage self-contained. The setting is the first Heisenberg group, helping to keep the notation simple and allow the reader to focus on the core of the theory and techniques in the field. Further, detailed proofs make the work accessible to students at the graduate level.
![Localized Radial Solutions for Nonlinear P-laplacian Equation in R[superscript N] PDF](https://books.google.com/books/content/images/frontcover/1-iBAQAACAAJ?fife=w80-h100)
Author: Sridevi Pudipeddi
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 63
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Author: Jahmario Lemonte Williams
Publisher:
ISBN:
Category : Dirichlet forms
Languages : en
Pages : 37
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In this dissertation, we study the existence and nonexistence of positive radial solutions for classes of quasilinear elliptic equations and systems in a ball with Dirichlet boundary conditions. Our nonlinearities are asymptotically p-linear at infinity and are allowed to be singular at zero with non-positone structure, which have not been considered in the literature. In the one parameter single equation problem, we are able to show the existence of a positive radial solution with precise lower bound estimate for a certain range of the parameter. We also extend the study to a class of asymptotically p-linear system with two parameters and in the presence of singularities. We establish the existence of a positive solution with a precise lower bound estimate when the product of the parameters is in a certain range. Necessary and sufficient conditions for the existence of a positive solution are also obtained for both the single equation and system under additional assumptions. Our approach is based on the Schauder Fixed Point Theorem.
![Multiple Solutions for a Semilinear Elliptic Equation on $R[superscript]n$ with Nonlinear Dependence on the Gradient PDF](https://books.google.com/books/content/images/frontcover/R8zJHgAACAAJ?fife=w80-h100)
Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Author: Kaushik Bal
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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In this thesis I have studied the Evolution p-laplacian equation with singular nonlinearity. We start by studying the corresponding elliptic problem and then by defining a proper cone in a suitable Sobolev space find the uniqueness of the solution. Taking that into account and using the semi discretization in time we arrive at the uniqueness and existence result. Next we prove some regularity theorem using tools from Nonlinear Semigroup theory and Interpolation spaces. We also establish some related result for the laplacian case where we improve our result on the existence and regularity, due to the non degeneracy of the laplacian. In another related work we work with a semilinear equation with singular nonlinearity and using the moving plane method prove the symmetry properties of any classical solution. We also give some related apriori estimates which together with the symmetry provide us the existence of solution using the bifurcation result.
![Almost Periodic Solutions of Semilinear Elliptic Equations on R[superscript N] PDF](https://books.google.com/books/content/images/frontcover/5gSkGwAACAAJ?fife=w80-h100)
Author: Gilles Fournier
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
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Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Category : Mathematics
Languages : en
Pages : 434
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Book Description
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
