Microscopic asymptotics for solutions of some semilinear Elliptic equations

DOI10.1017/S0027763000005171zbMath0828.35044MaRDI QIDQ4844805

Takayoshi Ogawa, Takashi Suzuki

Publication date: 4 January 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

smallness conditionsingularity at the origin

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (1)

Two dimensional elliptic equation with critical nonlinear growth

Cites Work

• Eigenfunctions of the nonlinear equation \(\Delta u+vf(x,u)=0\) in \(R^ 2\)
• Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
• Symmetry and related properties via the maximum principle
• Observations on Moser's inequality
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions

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