5 papers
Uniform a priori estimates for slightly subcritical fractional problems
Juan-Carlos Felipe-Navarro, Rosa Pardo
We study the uniform a priori boundedness of positive weak solutions to the fractional semilinear Dirichlet problem in a bounded, convex, $C^{1,1}…
estimates for solutions to elliptic equations in the presence of gradient terms
Edgar Antonio, Rosa Pardo
We consider an elliptic problem with slightly subcritical nonlinearities at the interior and on the boundary; the nonlinearity at the interior is also depending on a gradient term.…
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…
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 .…
Uniform estimates for elliptic equations with Carathéodory nonlinearities at the interior and on the boundary
Edgar Antonio, MartÃn P. Ãrciga-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…