elliptic boundary value problems
Patchwise Mapping Method for Solving Elliptic Boundary Value Problems Containing Multiple Singularities
... In Section 1 and 2, we briefly review definitions and terminologies that are used throughout this paper. We follow those in the book [12], and we thus refer to these texts for details. And then we introduce the mapping ...
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Stability of the Rayleigh-Ritz-Galerkin procedure for elliptic boundary value problems
... STABILITY OF THE RAYLEIGH RITZ GALERKIN PROCEDURE FOR ELLIPTIC BOUNDARY VALUE PROBLEMS by Bernard J Omodei A thesis submitted to the Australian National University for the degree of Doctor of Philosop[.] ...
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Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term
... semilinear elliptic boundary value problems with discontinuous source term on two different domains is considered in this ...of boundary layer ...
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An hp adaptive Newton discontinuous Galerkin finite element approach for semilinear elliptic boundary value problems
... In this article we have introduced the hp–version of the NDG scheme for the numerical approximation of second-order, singularly perturbed, semilinear elliptic boundary value problems. Here, ...
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Analytical Solutions of Some Two Point Non Linear Elliptic Boundary Value Problems
... one value of the independent variable, usu- ally its lower bound, this is referred to as an initial value problem ...one value of the independent variable, this is referred to as a boundary ...
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Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form
... In this section, we list a few examples of problems for which the maximum principles obtained in the Theorems 2.3 and 3.3 may be applied. In general, we would expect the maximum principle derived for Φ (x,a,b), ...
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Existence of solutions of elliptic boundary value problems with mixed type nonlinearities
... the existence of multiple nontrivial solutions for (P) are obtained by minimax methods and Morse theory.. It is well known that the (AR) condition is quite natural and convenient not onl[r] ...
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Radial symmetry of positive solutions for nonlinear elliptic boundary value problems
... some elliptic equations, notably the symmetry of ...of problems by many ...ear elliptic problems by applying comparison ...linear elliptic equations in R 2 ...semilinear elliptic ...
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Maximum principles for fourth order semilinear elliptic boundary value problems
... Theorem 3.2. If (2.2) is satisfied in a convex domain Ω then no nontrivial solution of (3.3)-(3.4) exists. Proof. It is by contradiction. Assume on the contrary that a nontrivial solution u of the given BVP (3.3) - (3.4) ...
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Positive solutions of an asymptotically planar system of elliptic boundary value problems
... We will prove an existence result of positive solutions for an asymptotically planar system of two elliptic equations.. It will be used as main tools for a Maximum Principle and a result[r] ...
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Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents
... nonlinear elliptic boundary value problems appear when we study the conformal deformations on Riemannian manifolds with ...nonlinear elliptic boundary value ...
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Existence results for classes of infinite semipositone problems
... Cui, S: Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems. Nonlinear Anal[r] ...
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Parallel multigrid solution of boundary value problems
... In this research report, we will be concerned with the finite-difference multigrid solution of nonlinear elliptic boundary value problems BVP's , and consider the implementation of multi[r] ...
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Singularities of Corner Problems and Problems of Corner Singularities
... its boundary is very large, see in the middle of Figure 7, the behavior of its solutions are almost ...coercive elliptic boundary value problems on can be expanded with respect to the ...
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Multiple positive solutions of singular-Laplacian problems by variational methods
... Zhang, Critical points and positive solutions of singular elliptic boundary value problems , J. del Pino, A global estimate for the gradient in a singular elliptic boundary value problem[r] ...
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Boundary value problems associated with generalized Q-holomorphic functions
... 2. Bojarski˘ı, BV: Theory of generalized analytic vectors. Ann. Pol. Math. 17, 281-320 (1966) (in Russian) 3. Gilbert, RP: Constructive Methods for Elliptic Equations. Lecture Notes Math., vol. 365. Springer, ...
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Sign-Changing and Extremal Constant-Sign Solutions of Nonlinear Elliptic Neumann Boundary Value Problems
... Our aim is the study of a class of nonlinear elliptic problems under Neumann conditions involving the p-Laplacian. We prove the existence of at least three nontrivial solutions, which means that we get two ...
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Multiple Solutions for a Class of Concave Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
... as n . Thus U V , is a minimizer for I on N . [7] T.-S. Hsu and H.-L. Lin, “Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Non- linearities and Sign-Changing Weights,” ...
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A Special Case of Variational Formulation for Two Point Boundary Value Problem in L2(Ω)
... nonlinear boundary value problems for elliptic partial differential equations and using a maximum principle for this problem we show uniqueness and continuous dependence on ...
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Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains
... In accordance with the method in the proof of Theorem 3.2, we can prove that the boundary value problem (3.20), (3.21) has a unique solution u x . Denote by u x T u x the mapping from ...
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