| Abstract: |
| We study blow-up positive solutions of semilinear elliptic equations with supercritical exponential growth. We detect infinite sequences of bubbles by a scaling technique. Then, we observe that the infinite sequences of bubbles cause infinite oscillations, around singular solutions, of blow-up solutions. Thanks to this, we finally arrive at a proof of infinite oscillations of bifurcation diagrams which yield the existence of infinitely many solutions. |
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