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math.AP2020
A solution to a slightly subcritical elliptic problem with non-power nonlinearity
Monica Clapp, Rosa Pardo, Angela Pistoia +1
We consider a slightly subcritical Dirichlet problem with a non-power nonlinearity in a bounded smooth domain. For this problem, standard compact embeddings cannot be used to guara…
math.AP2020
Solutions to indefinite weakly coupled cooperative elliptic systems
Mónica Clapp, Andrzej Szulkin
We study the elliptic system \begin{equation*} \begin{cases} -Δu_1 - κ_1u_1 = μ_1|u_1|^{p-2}u_1 + λα|u_1|^{α-2}|u_2|^βu_1, \\ -Δu_2 - κ_2u_2 = μ_2|u_2|^{p-2}u_2 + λβ|u_1|^α|u_2|^{β…