We study the asymptotic behavior of positive solutions of fully nonlinear elliptic equations in a ball, as the exponent of the power nonlinearity approaches a critical value. We show that solutions concentrate and blow up at the center of the ball, while a suitable associated energy remains invariant.
Concentration and energy invariance for a class of fully nonlinear elliptic equations / Birindelli, Isabella; Galise, Giulio; Leoni, Fabiana; Pacella, Filomena. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 57:6(2018). [10.1007/s00526-018-1427-6]
Concentration and energy invariance for a class of fully nonlinear elliptic equations
Isabella Birindelli;Giulio Galise;Fabiana Leoni
;Filomena Pacella
2018
Abstract
We study the asymptotic behavior of positive solutions of fully nonlinear elliptic equations in a ball, as the exponent of the power nonlinearity approaches a critical value. We show that solutions concentrate and blow up at the center of the ball, while a suitable associated energy remains invariant.File allegati a questo prodotto
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