Constructs sign-changing bubbling solutions with m bubbles for -Δu=λ u|u|^{p-2}e^{|u|^p} (Dirichlet) in bounded Ω for small λ>0 and 0<p<2, proving energy →4πm from below (p<1) or above (p>1) plus existence for 1-3 sign changes and symmetric multi-sign-change cases.
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Sign-changing bubbling solutions for an exponential nonlinearity in $\mathbb{R}^2$
Constructs sign-changing bubbling solutions with m bubbles for -Δu=λ u|u|^{p-2}e^{|u|^p} (Dirichlet) in bounded Ω for small λ>0 and 0<p<2, proving energy →4πm from below (p<1) or above (p>1) plus existence for 1-3 sign changes and symmetric multi-sign-change cases.