21 citations · 31 across the 10 of their papers we have counts for
12 papers
Transmutation operators for the Sturm--Liouville equation in impedance form with an integrable potential
Briceyda B. Delgado, F. Ayça Çetinkaya
In this work, we study a family of transmutation operators for the Sturm--Liouville operator in impedance form with an integrable potential satisfying a smallness condition. Specif…
A biquaternionic reformulation of Maxwell's equations via Fourier analysis
Aarón Guillén-Villalobos, Briceyda B. Delgado, Héctor Vargas Rodríguez
We analyze the parabolic Dirac operator in a biquaternionic setting, characterizing its kernel via generalized div-curl systems and Cauchy-Riemann-type relation…
Calderón's inverse problem via Vekua theory
Briceyda B. Delgado
In this work, we will prove a uniqueness result for Calderón's inverse problem via some integral representation formulas for solutions of the Vekua equation in the framework of Cli…
Positive solutions of elliptic systems with superlinear nonlinearities on the boundary
Shalmali Bandyopadhyay, Maya Chhetri, Briceyda Delgado +2
We consider elliptic systems with superlinear and subcritical boundary conditions and a bifurcation parameter as a multiplicative factor. By combining the rescaling method with deg…
Existence results for quasimonotone elliptic systems with growth up to critical exponents
Shalmali Bandyopadhyay, Briceyda B. Delgado, Nsoki Mavinga +1
We establish the existence of weak solutions of coupled systems of elliptic partial differential equations with quasimonotone nonlinearities in the differential equation and on the…
Hodge decomposition for generalized Vekua spaces in higher dimensions
Briceyda B. Delgado
We introduce the spaces of -solutions to the Vekua equation (generalized monogenic functions) in a bounded domain in , whe…
A right inverse of curl operator which is divergence free invariant and some applications to generalized Vekua type problems
Briceyda B. Delgado, Jorge E. Macías-Díaz
In this work, we investigate the system formed by the equations and in bounded star-shaped domains of . A Helmho…
Bifurcation and Multiplicity Results for Elliptic Problems with Subcritical Nonlinearity on the Boundary
Shalmali Bandyopadhyay, Maya Chhetri, Briceyda B. Delgado +2
We consider an elliptic problem with nonlinear boundary condition involving nonlinearity with superlinear and subcritical growth at infinity and a bifurcation parameter as a factor…
Bounded Extremal Problems in Bergman and Bergman-Vekua spaces
Briceyda Delgado, Juliette Leblond
We analyze Bergman spaces A p f (D) of generalized analytic functions of solutions to the Vekua equation w = (f /f)w in the unit disc of the complex plane, for…
A right inverse operator for and applications
Briceyda B. Delgado, Vladislav V. Kravchenko
A general solution of the equation is obtained for an arbitrary bounded domain $Ω\subset\mathbb{…
Hilbert transform for the three-dimensional Vekua equation
Briceyda B. Delgado, R. Michael Porter
The three-dimensional Hilbert transform takes scalar data on the boundary of a domain in R3 and produces the boundary value of the vector part of a quaternionic monogenic (hyperhol…
General solution of the inhomogenous div-curl system and consequences
Briceyda B. Delgado, R. Michael Porter
We consider the inhomogeneous div-curl system (i.e.\ to find a vector field with prescribed div and curl) in a bounded star-shaped domain in . An explicit general sol…