A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\)

DOI10.1186/s13661-016-0656-xzbMath1345.30074OpenAlexW2480913969WikidataQ59466762 ScholiaQ59466762MaRDI QIDQ308534

Longfei Gu

Publication date: 6 September 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0656-x

zbMATH Keywords

Clifford analysisfourth-order elliptic equationRiemann boundary value conditions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

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• Boundary value problems associated to a Hermitian Helmholtz equation
• On \(k\)-regular functions with values in a universal Clifford algebra
• Jump problem and removable singularities for monogenic functions
• Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry
• The RH boundary value problem of the \(k\)-monogenic functions
• Quaternionic analysis and elliptic boundary value problems
• On the left linear Riemann problem in Clifford analysis
• Liouville theorems for stable solutions of biharmonic problem
• Generalized integral representations for functions with values in \(C(V_{3,3})\)
• A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem
• On the asymptotic growth of entire monogenic functions
• On regular-analytic functions with values in a Clifford-algebra
• Some Riemann boundary value problems in Clifford analysis (I)
• A fourth-order model for MEMS with clamped boundary conditions
• Applicability and applications of the method of fundamental solutions
• Some Riemann boundary value problems in Clifford analysis
• Structure of solutions of polynomial Dirac equations in Clifford analysis
• A kind of Riemann and Hilbert boundary value problem for left monogenic functions in R^m (m ≥ 2)
• Cauchy-Green Type Formulae in Clifford Analysis
• Riemann boundary value problem for harmonic functions in Clifford analysis
• Boundary value problems for Dirac operators and Maxwell's equations in fractal domains
• A kind of Riemann boundary value problems for pseudo-harmonic functions in Clifford analysis

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