On entire solutions of second order semilinear elliptic equations

DOI10.1016/0022-247X(86)90337-9zbMath0596.35040OpenAlexW2030816089MaRDI QIDQ1078403

Shinnosuke Oharu, Takasi Kusano

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90337-9

zbMATH Keywords

positive solutionssecond order semilinear elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items

Positive \(L^ p\)-solution of subcritical nonlinear problems ⋮ The existence and uniqueness of the decaying positive entire solutions for a class of semilinear elliptic equations ⋮ Positive \(L^ p(R^ N)\)-solutions of subcritical Emden-Fowler problems ⋮ On variational iterative methods for semilinear problems ⋮ Existence of Decaying Entire Solutions of a Class of Semilinear Elliptic Equations ⋮ Existence of positive entire solutions for a class of quasilinear elliptic equations ⋮ Positive solutions of a class of second order semilinear elliptic equations in the plane ⋮ Decaying entire positive solutions of quasilinear elliptic equations

Cites Work

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• On bounded entire solutions of semilinear elliptic equations
• On the inequality \(\Delta u \geqq f (u)\)
• Positive solutions of quasilinear elliptic equations in exterior domains
• On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures
• On solutions of δu=f(u)