Classification of low energy sign-changing solutions of an almost critical problem |
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| Authors: | Mohamed Ben Ayed Khalil El Mehdi Filomena Pacella |
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| Institution: | aDépartement de Mathématiques, Faculté des Sciences de Sfax, Route Soukra, Sfax, Tunisia;bFaculté des Sciences et Techniques, Université de Nouakchott, BP 5026 Nouakchott, Mauritania;cDipartimento di Matematica, Università di Roma “La Sapienza”, P. le A. Moro 2, 00185 Roma, Italy |
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| Abstract: | In this paper we make the analysis of the blow up of low energy sign-changing solutions of a semilinear elliptic problem involving nearly critical exponent. Our results allow to classify these solutions according to the concentration speeds of the positive and negative part and, in high dimensions, lead to complete classification of them. Additional qualitative results, such as symmetry or location of the concentration points are obtained when the domain is a ball. |
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| Keywords: | Blow-up analysis Sign-changing solutions Nodal domains Critical exponent |
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