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math.AP2002
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…
math.AP2002
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…
math.AP2002
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 $…