On the equation \(\Delta u+K(x)u^{{{n+2}\over{n-2}}\pm\varepsilon^ 2}=0\) in \(\mathbb{R}^ n\)

DOI10.1007/BF02844676zbMath0859.35029MaRDI QIDQ1923445

Xuefeng Wang, Wei, Juncheng

Publication date: 11 November 1996

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

positive solutionLyapunov-Schmidt reductionsemilinear elliptic equationblow upcritical nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60)

Related Items

Large number of bubble solutions for the equation \(\Delta u + K(y)u^{\frac{N + 2}{N - 2}\pm \varepsilon}=0\) on \(\mathbb{R}^N\), Sign-changing solutions at the almost Hénon critical exponent, Bubble accumulations in an elliptic Neumann problem with critical Sobolev exponent, Multiple positive solutions for an inhomogeneous semilinear problem in exterior domains, Large number of bubble solutions for a fractional elliptic equation with almost critical exponents, Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. II: \(N\geqslant 4\), A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture, Supercritical elliptic problem with nonautonomous nonlinearities, On the existence of multiple positive solutions for a semilinear problem in exterior domains

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