Search Results - "POLYHARMONIC functions"

Normalized solutions to polyharmonic equations with Hardy-type potentials and exponential critical nonlinearities.

Authors: Bieganowski, Bartosz Miyagaki, Olimpio Hiroshi Schino, Jacopo

Source: Communications in Contemporary Mathematics. Oct2025, p1. 15p.

Subject Terms: *POLYHARMONIC functions, *CONSTRAINED optimization, *MATHEMATICAL physics, *NONLINEAR analysis, *POTENTIAL theory (Mathematics)

Estimates of the first partial derivatives of (α,β)-harmonic functions on the unit disc.

Authors: Khalfallah, Adel Mhamdi, Mohamed

Source: Journal of Inequalities & Applications. 9/26/2025, Vol. 2025 Issue 1, p1-18. 18p.

Subject Terms: *HARDY spaces, *POLYHARMONIC functions, *DIRECTIONAL derivatives, *BOUNDARY value problems, *HARMONIC maps, *FUNCTIONAL analysis

On the univalence of certain polyharmonic mappings under differential operator.

Authors: Wang, Xin Chen, Jie-Ling Liu, Ming-Sheng

Source: Applicable Analysis. Sep2025, Vol. 104 Issue 14, p2782-2798. 17p.

Subject Terms: *POLYHARMONIC functions, *UNIQUENESS (Mathematics), *HARMONIC maps, *DIFFERENTIAL operators, *INTEGRAL inequalities, *MATHEMATICAL functions, *MATHEMATICS theorems

Optimization Properties of the Taylor Formula for the Triharmonic Poisson Integral.

Authors: Shutovskyi, A. M.¹ (AUTHOR) sh93ar@gmail.com

Source: Cybernetics & Systems Analysis. Sep2025, Vol. 61 Issue 5, p827-836. 10p.

Subject Terms: *POLYHARMONIC functions, *BOUNDARY value problems, *TAYLOR'S series, *POSITIVE operators, *POLYNOMIAL approximation, *INTEGRALS, *MATHEMATICAL optimization

Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space.

Authors: Cianchi, Andrea Diebou, Gael Y. Slavíková, Lenka

Source: Advances in Calculus of Variations. Jul2025, Vol. 18 Issue 3, p773-806. 34p.

Subject Terms: *HARMONIC functions, *POLYHARMONIC functions, *BOUNDARY value problems, *HARMONIC analysis (Mathematics), *NONLINEAR boundary value problems

Iterated Robin problem, the case of various parameters.

Authors: Emek, Serkan¹ (AUTHOR) s.emek@live.de

Source: Complex Variables & Elliptic Equations. May2025, Vol. 70 Issue 5, p774-797. 24p.

Subject Terms: *INTEGRAL representations, *POLYHARMONIC functions, *EQUATIONS

Critical dimensions for polyharmonic operators: the Pucci–Serrin conjecture for solutions of bounded energy: Critical dimensions for polyharmonic operators...: F. Robert.

Authors: Robert, Frédéric¹ (AUTHOR) frederic.robert@univ-lorraine.fr

Source: Calculus of Variations & Partial Differential Equations. Apr2025, Vol. 64 Issue 3, p1-33. 33p.

Subject Terms: *GREEN'S functions, *POLYHARMONIC functions, *THRESHOLD energy, *OPERATOR functions, *LOGICAL prediction

The Green's function of polyharmonic operators with diverging coefficients: Construction and sharp asymptotics.

Authors: Carletti, Lorenzo¹ (AUTHOR) lorenzo.carletti@ulb.be

Source: Journal of Differential Equations. Feb2025, Vol. 419, p370-417. 48p.

Subject Terms: *GREEN'S functions, *POLYHARMONIC functions, *DERIVATIVES (Mathematics), *OPERATOR functions, *RIEMANNIAN manifolds

Complex Partial Differential Equations.

Authors: Aksoy, Ü. Begehr, H. Çelebi, A. et al.

Source: Journal of Mathematical Sciences. Feb2025, Vol. 287 Issue 6, p867-883. 17p.

Subject Terms: *POLYHARMONIC functions, *BOUNDARY value problems, *PARTIAL differential equations, *GREEN'S functions, *DIRICHLET problem

Super Polyharmonic Property and Asymptotic Behavior of Solutions to the Higher Order Hardy-Hénon Equation Near Isolated Singularities.

Authors: Huang, Xia Li, Yuan Yang, Hui

Source: Journal of Geometric Analysis; Nov2025, Vol. 35 Issue 11, p1-33, 33p

Subject Terms: POLYHARMONIC functions, MATHEMATICAL singularities, LANE-Emden equation, ASYMPTOTIC analysis, PARTIAL differential equations

A High-Order Compact Finite Difference Decoupling Approach for Reissner-Mindlin Plate Bending.

Authors: El Gendy, Horria S. Semary, Mourad S. Rageh, Tamer M. et al.

Source: Engineering, Technology & Applied Science Research; Oct2025, Vol. 15 Issue 5, p26231-26241, 11p

Subject Terms: PARTIAL differential equations, STRUCTURAL plates, ENGINEERING, FINITE differences, POLYHARMONIC functions, NUMERICAL analysis

New Remarks on the Scattering for a Perturbed Polyharmonic Operator.

Authors: Rozenblum, Grigori

Source: Functional Analysis & Its Applications; Sep2025, Vol. 59 Issue 3, p321-329, 9p

Subject Terms: SCATTERING (Physics), PERTURBATION theory, MATHEMATICAL analysis, POLYHARMONIC functions, OPERATOR functions, OPERATOR equations

ОПТИМІЗАЦІЙНІ ВЛАСТИВОСТІ ФОРМУЛИ ТЕЙЛОРА ДЛЯ ТРИГАРМОНІЙНОГО ІНТЕГРАЛА ПУАССОНА. (Ukrainian)

Alternate Title: OPTIMIZATION PROPERTIES OF TAYLOR FORMULA FOR TRIHARMONIC POISSON INTEGRAL. (English)

Authors: ШУТОВСЬКИЙ, А. М.

Source: Cybernetics & Systems Analysis / Kibernetiki i Sistemnyj Analiz; 2025, Issue 5, p138-148, 11p

Subject Terms: MATHEMATICAL optimization, POLYHARMONIC functions, POSITIVE operators, TAYLOR'S series, POLYNOMIAL approximation, BOUNDARY value problems, POISSON integral formula

Multiplicity of Solutions for (p1,...,pN)-polyharmonic system.

Authors: Bousgheiri, Abdelhak Ourraoui, Anass

Source: Palestine Journal of Mathematics; 2025, Vol. 14 Issue 3, p1072-1082, 11p

Subject Terms: POLYHARMONIC functions, DIRICHLET problem, CRITICAL point theory, DIFFERENTIAL operators

A Schwarz lemma on the boundary for solutions to the Dirichlet-Neumann problem

Authors: Lei Jin Caicai Hu

Source: The Journal of Analysis. 33:211-224

Subject Terms: unit disc, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, subordination, boundary Schwarz problem, Conformal mappings of special domains, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Quasiconformal mappings in the complex plane, Dirichlet-Neumann bvp, quasiconformal, Harmonic, subharmonic, superharmonic functions in two dimensions, biharmonic differential operator

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Application of the fragile points method for two-dimensional generalized biharmonic equation on arbitrary domains

Authors: Donya Haghighi Saeid Abbasbandy Yue Guan et al.

Source: Computational and Applied Mathematics. 44

Subject Terms: Initial-boundary value problems for linear higher-order PDEs, fragile points method, meshless technique, Finite difference methods for initial value and initial-boundary value problems involving PDEs, numerical flux corrections, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Voronoi diagram, generalized biharmonic equation

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An overview of complex boundary value problems.

Authors: Çelebi, A. O.

Source: Istanbul Journal of Mathematics; Jun2025, Vol. 3 Issue 1, p39-44, 6p

Subject Terms: BOUNDARY value problems, POLYHARMONIC functions, DIRICHLET problem, NEUMANN problem, INTEGRAL representations

High-frequency stability estimates for the linearized inverse boundary value problem for the polyharmonic operator with constant attenuation.

Authors: Choudhury, Anupam Pal T, Ajith Kumar

Source: Communications on Analysis & Computation (CAC); Jun2025, Vol. 4 Issue 1, p1-19, 19p

Subject Terms: POLYHARMONIC functions, ATTENUATION (Physics), BOUNDARY value problems, OPERATOR equations, PERTURBATION theory, NONLINEAR boundary value problems

Mean value characterizations of the Dunkl polyharmonic functions.

Authors: Łysik, G.¹ (AUTHOR) glysik@ujk.edu.pl

Source: Acta Mathematica Hungarica. Feb2024, Vol. 172 Issue 1, p119-130. 12p.

Subject Terms: *POLYHARMONIC functions, *INVARIANT sets, *MEAN value theorems

Numerical simulation of coupled Klein–Gordon–Schrödinger equations: RBF partition of unity.

Authors: Azarnavid, Babak Fardi, Mojtaba Mohammadi, Soheila

Source: Engineering Analysis with Boundary Elements. Jun2024, Vol. 163, p562-575. 14p.

Subject Terms: *POLYHARMONIC functions, *FINITE differences, *RADIAL basis functions, *QUANTUM field theory, *PARTITION functions, *DIFFERENTIAL equations, *SPLINES