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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 . M…
math.AP2025
Uniform estimates for elliptic equations with Carathéodory nonlinearities at the interior and on the boundary
Edgar Antonio, Martín P. Árciga-Alejandre, Rosa Pardo +1
We establish an explicit uniform a priori estimate for weak solutions to slightly subcritical elliptic problems with nonlinearities simultaneously at the interior and on the bounda…