Results 11 to 20 of about 138,114 (286)
Bounded solutions for a class of Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$.
Philip Korman, Guanying Peng
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The Dirichlet Casimir problem [PDF]
Nuclear Physics B, 2004 Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately capture the characteristics of real materials, which cannot constrain the modes of the fluctuating field at all ...
Graham, N. +5 more
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Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball
Mathematics, 2021 In the previous author’s works, a representation of the solution of the Dirichlet boundary value problem for the biharmonic equation in terms of Green’s function is found, and then it is shown that this representation for a ball can be written in the ...
Valery Karachik
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Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms
Advanced Nonlinear Studies, 2020 In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
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Weighted Estimates on fractal domains [PDF]
, 2015 The aim of the paper is to establish estimates in weighted Sobolev spaces for the solutions of the Dirichlet problems on snowflake domains, as well as uniform estimates for the solutions of the Dirichlet problems on pre-fractal approximating ...
Capitanelli, Raffaela +1 more
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Petviashvilli’s Method for the Dirichlet Problem [PDF]
Journal of Scientific Computing, 2015 We examine the Petviashvilli method for solving the equation $ ϕ- Δϕ= |ϕ|^{p-1} ϕ$ on a bounded domain $Ω\subset \mathbb{R}^d$ with Dirichlet boundary conditions. We prove a local convergence result, using spectral analysis, akin to the result for the problem on $\mathbb{R}$ by Pelinovsky & Stepanyants, 2004.
Derek Olson +3 more
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Multiple positive solutions for singular anisotropic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) $p$-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric
Zhenhai Liu, Nikolaos Papageorgiou
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Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity [PDF]
, 2014 We present some open problems and obtain some partial results for spectral optimization problems involving measure, torsional rigidity and first Dirichlet eigenvalue.Comment: 18 pages, 4 ...
A Henrot +21 more
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The hyperbolic dirichlet problem
Mathematical and Computer Modelling, 2000 The authors show that there are uncountably many rotations, that assure the existence and uniqueness of the solution to the hyperbolic Dirichlet problem for a transitive curve being an ellipse. Moreover, a numerical algorithm for the computation of the solution is presented.
Pavani, R., Talamo, R.
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Three spectra problem for Stieltjes string equation and Neumann conditions
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Spectral problems are considered which appear in description of small transversal vibrations of Stieltjes strings. It is shown that the eigenvalues of the Neumann-Neumann problem, i.e.
Anastasia Dudko, Vyacheslav Pivovarchik
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