1 citations · 1 across the 5 of their papers we have counts for
6 papers
A priori estimates for the scalar curvature equation on
Matthias Schneider
We obtain a priori estimates for solutions to the prescribed scalar curvature equation on . The usual non-degeneracy assumption on the curvature function is replaced by a new…
A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type
Veronica Felli, Matthias Schneider
We establish Holder continuity of weak solutions to degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
Compactness and existence results for degenerate critical elliptic equations
Veronica Felli, Matthias Schneider
This paper is devoted to the study of degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type. By means of blow-up analysis techniques, we prove an a-priori estima…
Existence and Nonexistence of Positive Solutions of Indefinite Elliptic Problems in $\rz^N$
Matthias Schneider
Our purpose is to find positive solutions $u \in D^{1,2}(\rz^N)$ of the semilinear elliptic problem $-\laplace u - λV(x) u = h(x) u^{p-1}$ for . The functions and may…
Compact embeddings and indefinite semilinear elliptic problems
Matthias Schneider
Our purpose is to find positive solutions $u \in D^{1,2}(\rz^N)$ of the semilinear elliptic problem $-\laplace u = h(x) u^{p-1}$ for . The function may have an indefinite…
Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
Veronica Felli, Matthias Schneider
We find for small positive solutions to the equation \[-\textrm{div} (|x|^{-2a}\nabla u)-\displaystyle{\fracλ{|x|^{2(1+a)}}} u= \Big(1+εk(x)\Big)\frac{u^{p-1}}{|x|^{bp}}\] in $…