6 papers · 1 filter
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…
Nonresonance for problems involving -Laplacian equations with nonlinear perturbations
Emer Lopera, Nsoki Mavinga, Diana Sanchez
We study the solvability of -Laplacian problems with nonlinear reaction terms and non-homogeneous Neumann boundary conditions. First, we provide a complete description of th…
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…
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…
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…