We construct entire solutions of an elliptic equation whose nonlinearity depends on the gradient of u. Such solutions are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.
On periodic elliptic equations with gradient dependence / Berti, Massimiliano; Matzeu, M; Valdinoci, E.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - STAMPA. - (2008), pp. 601-615.
On periodic elliptic equations with gradient dependence
BERTI, MASSIMILIANO;
2008
Abstract
We construct entire solutions of an elliptic equation whose nonlinearity depends on the gradient of u. Such solutions are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.File in questo prodotto:
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