Results 1 to 10 of about 15,517 (265)
THE NEUMANN PROBLEM ON ELLIPSOIDS. [PDF]
J Appl Math Comput, 2018 The Neumann problem on an ellipsoid in R^n asks for a function harmonic inside the ellipsoid whose normal derivative is some specified function on the ellipsoid. We solve this problem when the specified function on the ellipsoid is a normalized polynomial (a polynomial divided by the norm of the normal vector arising from the definition of the ...
Axler S, Shin PJ.
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Nonlinear spectra: The Neumann problem
Mathematical Modelling and Analysis, 2009 Eigenvalue problems of the form x” = −λf(x+ ) + μg(x− ), x‘(a) = 0, x' (b) = 0 are considered. We are looking for (λ,μ) such that the problem (i), (ii) has a nontrivial solution.
Armands Gritsans, Felix Sadyrbaev
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
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Four Boundary Value Problems for a Nonlocal Biharmonic Equation in the Unit Ball
Mathematics, 2022 Solvability issues of four boundary value problems for a nonlocal biharmonic equation in the unit ball are investigated. Dirichlet, Neumann, Navier and Riquier–Neumann boundary value problems are studied.
Valery Karachik +2 more
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Non-Resonant Non-Hyperbolic Singularly Perturbed Neumann Problem
Axioms, 2022 In this brief note, we study the problem of asymptotic behavior of the solutions for non-resonant, singularly perturbed linear Neumann boundary value problems εy″+ky=f(t), y′(a)=0, y′(b)=0, k>0, with an indication of possible extension to more complex ...
Robert Vrabel
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On a singular nonlinear Neumann problem [PDF]
Opuscula Mathematica, 2014 We investigate the solvability of the Neumann problem involving two critical exponents: Sobolev and Hardy-Sobolev. We establish the existence of a solution in three cases: \(\text{(i)}\;\ 2\lt p+1\lt 2^*(s),\) \(\text{(ii)}\;\ p+1=2^*(s)\) and \(\text ...
Jan Chabrowski
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Riquier–Neumann Problem for the Polyharmonic Equation in a Ball
Mathematics, 2023 The Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed. Using the obtained Green’s function, an integral representation of the solution to the Riquier–Neumann problem in the unit ball is found.
Valery Karachik
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The Neumann problem of Hessian quotient equations
Bulletin of Mathematical Sciences, 2021 In this paper, we obtain some important inequalities of Hessian quotient operators, and global C2 estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of
Chuanqiang Chen, Dekai Zhang
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Three Weak Solutions for an Anisotropic Variable Exponent Problem with Neumann Boundary Condition [PDF]
Sahand Communications in Mathematical Analysis, 2022 In the present work, we investigate an interval of real parameters $ \lambda $ for which the problem admits at least one nontrivial solution. Moreover we deal with the existence results of three solutions for anisotropic problems with variable exponents.
Tahereh Norouzi Ghara +3 more
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Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations
Mathematics, 2023 Dunkl operators are a family of commuting differential–difference operators associated with a finite reflection group. These operators play a key role in the area of harmonic analysis and theory of spherical functions.
Hongfen Yuan, Valery Karachik
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