elliptic boundary
Research of 2D variable coefficient elliptic boundary value problem
... This paper used the finite element method and the finite difference method to solve the two-dimensional variable coefficient elliptic boundary value problem. It get the corresponding error analysis, and ...
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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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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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A Complement to the Fredholm Theory of Elliptic Systems on Bounded Domains
... Although important issues are still being investigated today, the bulk of the Fredholm theory of linear elliptic boundary value problems on bounded domains was completed during the 1960s. For ...
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Homogenization of an Optimal Control Problem in Fixed Domains
... linear elliptic boundary value problem with highly oscillating coefficients posed in a fixed ...The boundary is assumed to be Lipschitz contin- uous with a prescribed linear Robin ...
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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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Existence and boundary behavior of solutions to p-Laplacian elliptic equations
... Inspired by the works mentioned, in this paper, by using Karamata regular variation the- ory and the method of upper and lower solutions, we show the existence of a solution to problem (.) and provide some asymptotic ...
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Boundary regularity of weak solutions to nonlinear elliptic obstacle problems
... Choe, A regularity theory for a general class of quasilinear elliptic partial di ff erential equations and obstacle problems, Archive for Rational Mechanics and Analysis 114 (1991), no.. [r] ...
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The existence of positive solutions to an elliptic system with nonlinear boundary conditions
... nonlinear elliptic systems have received a lot of interest in recent years (see [–]), particularly when the nonlinear term appears as a source in the equa- tion, complemented with Dirichlet boundary ...
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The estimates on the energy functional of an elliptic system with Neumann boundary conditions
... nonlinearities having superlinear and subcritical growth at infinity. We prove the existence of nonconstant positive solutions of the system, and estimate the energy functional on a configuration space H ¯ by a different ...
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Existence of positive solutions of elliptic mixed boundary value problem
... There have been many papers concerned with similar problems at resonance under the boundary condition; see [–]. Moreover, some multiplicity theorems are obtained by the topological degree technique and ...
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Existence and uniqueness of solutions for a semilinear elliptic system
... We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particu- lar case, the system reduces to ...
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Boundary value problems for elliptic partial differential operators on bounded domains
... the boundary triple concept and to apply it to boundary value problems for elliptic second order differential operators with L 2 (∂Ω)-boundary ...
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Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities
... [1] A. Acker, On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs, Nonlinear Analysis. Theory, Methods & Applications. An ...
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Subsolutions of Elliptic Operators in Divergence Form and Application to Two-Phase Free Boundary Problems
... The proof of Theorem 1.2 goes along well-known guidelines and consists in the fol- lowing three steps: to improve the Lipschitz constant of the level sets of u far from F(u), to carry this interior gain to the free ...
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Existence and Uniqueness of Entropy Solution for an Elliptic Problem with Nonlinear Boundary Conditions and Measure-data
... in our problem. The obstacle which we encounter is that we can not get rid of term with (1, 0) . To overcome this difficulty, following Sbihi and Wittbold [22], we first redefine and extend the function Λ which appears ...
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Elliptic problems with nonhomogeneous boundary condition and derivatives of nonlinear terms
... Our results are stated as Theorems and . They are existence and location theorems on problems () and (), respectively, guaranteeing solutions in the sense of Definitions and that fulfill an estimate γ ∗ ≤ u ≤ γ ∗ ...
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Nonlinear second order elliptic equations with Venttsel boundary conditions
... In Section 2, instead of Schauder estimates, we will derive higher order derivative estimates for solutions of 1.1, 1.2 when the boundary conditions are degenerate elliptic but strictly [r] ...
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Lp-estimates for a transmission problem of mixed elliptic-parabolic type
... with a constant C > . Operators whose principal symbols allow an estimate of the form (.) are also called N-elliptic with parameter. Here the ‘N’ stands for the Newton polygon which is related to the ...
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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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