Elliptic Dirichlet Boundary Value Problem
Existence of solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential
... In the case μ = 0, problem (1.1) has been studied extensively. For example, when p = 2 ∗ , Capozzi et al. [1] have shown that (1.1) has at least one positive solution for N ≥ 5. When 2 < p < 2 ∗ , the ...
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Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base
... with Dirichlet boundary conditions for second-order parabolic systems in both cases of finite cylinders and infinite cylinders whose bases are polyhedral ...this problem by Galer- kin’s approximating ...
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Existence of positive solutions of elliptic mixed boundary value problem
... the boundary condition; see ...[–]. Problem () is different from the classical ones, such as those with Dirichlet, Neuman, Robin, No-flux, or Steklov boundary ...
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Solving dirichlet and neumann problems with discontinuous coefficients on bounded simply and multiply connected regions
... Solving elliptic problems with different types of boundary conditions are unavoidable parts of computational physics and ...on Dirichlet boundary value ...of Dirichlet ...
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On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point
... is considered under the condition a(r) = O(r 2 a ), a >1, as r ® 0. In the same study, Ψ (x) is some matrix entries of which are decreasing as x ® 0, and h is a given vector func- tion smooth on the unit sphere. It is ...
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Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
... inverse problem for a multidimensional elliptic equation with Dirichlet- Neumann conditions and overdetermination is ...this problem are ...inverse problem are ...
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The existence of positive solutions for an elliptic boundary value problem
... By using the mountain pass lemma, we study the existence of positive solutions for the equation −∆ux = λu|u| + ux for x ∈ Ω together with Dirichlet boundary conditions and show that for [r] ...
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Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
... Our method is applied to general domains satisfying the “exterior measure” condition (A), and it works for both divergence and nondivergence equations. However, the natural functional spaces for solutions in these two ...
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Construction of a New Cryptographic Method, Employing Pseudoanalytic Function Theory
... It is true that most of the material analyzed in the Section III is part of a new theory dedicated to study, and eventually to solve this problem. Nevertheless this achievement is far to be complete, when ...
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Free boundary value problems and hjb equations for the stochastic optimal control of elasto-plastic oscillators
... We are not aware of mathematical studies regarding optimal stopping problems for SVIs modeling elasto-plastic oscillators and their applications to the risk analysis of failure. Thus, to address this issue, the strategy ...
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Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms
... We investigate the blow-up phenomena for a porous medium equation with weighted nonlocal source and inner absorption terms subject to null Dirichlet boundary condition. Based on a modified differential ...
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Generalizations of Troisi’s inequality in weighted p Sobolev spaces with singularities
... In particular, the following edge type Sobolev inequality can be regarded as a special case of the edge type Troisi’s inequality above. This kind of edge type Sobolev inequality was first given by [8, Proposition 3.2] in ...
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On solvability of boundary value problem for elliptic equations with Bitsadze Samarskiĭ condition
... ON SOLVABILITY OF BOUNDARY VALUE PROBLEM FOR ELLIPTIC EQUATIONS WITH BITSADZESAMARSKI[ CONDITION.. CHABROWSKI The University of Queensland, Department of Mathematics, St.[r] ...
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About Dirichlet boundary value problem for the heat equation in the infinite angular domain
... the boundary value problem adjoint to the Dirichlet problem, the existence of a unique (up to a constant factor) non-trivial solutions, which belongs to the class of essentially bounded ...
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New Characterization of an Improved Numerical Method for Solving the Electrical Impedance Equation in the Plane: An Approach from the Modern Pseudoanalytic Function Theory
... Abstract—Employing an improved numerical method, we approach solutions for the Dirichlet boundary value forward problem of the Electrical Impedance Equation in the plane. Some of the ...
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Fourth order elliptic boundary value problem with nonlinear term decaying at the origin
... reducing problem (.) to the problem with bounded nonlinear term and then applying the maximum principle for the elliptic operator – and – – c two times and the moun- tain pass theorem in the ...
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The numerical solution of forward and inverse Robin problems for Laplace’s equation
... straightforward elliptic partial differential equation for the description of all sorts of steady state ...Robin boundary conditions it is able to han- dle the spherical geometry of the largest to the ...
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On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
... We give some basic definitions and lemmas in the next section. In Section 3, we present the main results of the study. The existence and uniqueness of a solution to problem (1.3) are proved by using the Banach fixed ...
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An Optimized Numerical Method for Solving the Two-Dimensional Impedance Equation
... Another question is why the total number of points K + 1 per radius, did not have a strong influence in the obtained results, as it could have been expected. This immediately indicates that a larger number of ...
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To a nonlocal generalization of the Dirichlet problem
... mixed problem with a boundary Dirichlet condition and non- local integral condition is considered in a unit square for a second-order elliptic ...this problem in the weighted Sobolev ...
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