Sobolev inequalities with remainder terms
نویسندگان
چکیده
منابع مشابه
Critical dimensions and higher order Sobolev inequalities with remainder terms ∗
Pucci and Serrin [21] conjecture that certain space dimensions behave “critically” in a semilinear polyharmonic eigenvalue problem. Up to now only a considerably weakened version of this conjecture could be shown. We prove that exactly in these dimensions an embedding inequality for higher order Sobolev spaces on bounded domains with an optimal embedding constant may be improved by adding a “li...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1985
ISSN: 0022-1236
DOI: 10.1016/0022-1236(85)90020-5