Under suitable assumptions on D in R^2, we prove nondegeneracy, uniqueness and star-shapedness of the level sets of solutions to the problem -\Delta u= le^u in D u=0 on the boundary od D;
Some results for the Gelfand's problem / Grossi, Massimo. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 29:(2004), pp. 1335-1364. [10.1081/PDE-200037754]
Some results for the Gelfand's problem
GROSSI, Massimo
2004
Abstract
Under suitable assumptions on D in R^2, we prove nondegeneracy, uniqueness and star-shapedness of the level sets of solutions to the problem -\Delta u= le^u in D u=0 on the boundary od D;File allegati a questo prodotto
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