engleski

Nonexistence of solutions for quasilinear elliptic equations with $p$-growth in the gradient

We study nonexistence of weak solutions for a class of quasilinear elliptic boundary-value problems with natural growth in the gradient. Nonsolvability conditions involve general domains with possible singularities of the right-hand side. In particular, we show that if the data on the right-hand side are sufficiently large, or if inner radius of domain is large, then there are no weak solutions.

quasilinear elliptic ; existence ; nonexistence ; geometry of domains

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