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• W2425474908 abstract "We study semilinear elliptic equations involving a relativistic Laplacian on bounded domains begin{equation} (sqrt{-Delta + m^2} - m)u =|u|^{p-1}u quad textrm{in}~Omega,end{equation} with the Dirichlet boundary condition $u=0$ on $partial Omega$. Here $p in (1,infty)$ and the operator $(sqrt{-Delta + m^2} - m)$ is defined in terms of spectral decomposition. In the first part, we obtain existence and nonexistence result. Then, the second part is devoted to study asymptotic behaviors of solutions when the mass parameter $m$ of equations goes to $0^{+}$ or diverges to infinity." @default.
• W2425474908 created "2016-06-24" @default.
• W2425474908 creator A5019321903 @default.
• W2425474908 creator A5087879083 @default.
• W2425474908 date "2016-06-15" @default.
• W2425474908 modified "2023-09-27" @default.
• W2425474908 title "Semilinear elliptic equations with a relativistic Laplacian on bounded domains" @default.
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• W2425474908 hasPublicationYear "2016" @default.
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