5 papers
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…
A biquaternionic reformulation of Maxwell's equations via Fourier analysis
Aarón Guillén-Villalobos, Briceyda B. Delgado, Héctor Vargas RodrÃguez
We analyze the parabolic Dirac operator in a biquaternionic setting, characterizing its kernel via generalized div-curl systems and Cauchy-Riemann-type relation…
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 …
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 Cl…
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…