We construct entire solutions of Δu = f(x, u, ∇u) which are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.
On periodic elliptic equations with gradient dependence / M. Berti, M. Matzeu, E. Valdinoci. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 7:3(2008), pp. 601-615.
On periodic elliptic equations with gradient dependence
E. Valdinoci
2008
Abstract
We construct entire solutions of Δu = f(x, u, ∇u) which are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.
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