3 papers
math.AP2025
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…
math.AP2025
Regularity and explicit estimates for a class of nonlinear elliptic systems
Maya Chhetri, Nsoki Mavinga, Rosa Pardo
We use De Giorgi-Nash-Moser iteration scheme to establish that weak solutions to a coupled system of elliptic equations with critical growth on the boundary are in .…
math.AP2024
An interpolation approach to a priori estimates for elliptic problems with nonlinearity on the boundary
Maya Chhetri, Nsoki Mavinga, Rosa Pardo
We establish an explicit $L^\infty(\Om)$ a priori estimate for weak solutions to subcritical elliptic problems with nonlinearity on the boundary, in terms of the powers of their $H…