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math.AP2024
Multiplicity results for a subcritical Hamiltonian system with concave-convex nonlinearities
Oscar Agudelo, Bernhard Ruf, Carlos Velez
We study the {\it Hamiltonian elliptic system} \begin{eqnarray}\label{HS1-abstract} \left\{ \begin{aligned} -Δu & = λ|v|^{r-1}v +|v|^{p-1}v \qquad &\hbox{in} \ \ Ω,\\ -Δv & = μ|u|^…
math.AP2024
Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf +1
By introducing a new classification of the growth rate of exponential functions, singular solutions for semilinear elliptic equations in 2-dimensions with exponential nonlinearitie…