We consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: ={B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up both at a and at b.

Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains / Yuxin, Ge; Monica, Musso; Pistoia, Angela. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 35:8(2010), pp. 1419-1457. [10.1080/03605302.2010.490286]

Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains

PISTOIA, Angela
2010

Abstract

We consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: ={B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up both at a and at b.
2010
tower of bubbles; blowing-up solution; robin's function; critical sobolev exponent
01 Pubblicazione su rivista::01a Articolo in rivista
Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains / Yuxin, Ge; Monica, Musso; Pistoia, Angela. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 35:8(2010), pp. 1419-1457. [10.1080/03605302.2010.490286]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/66665
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