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Asymptotic behavior of the solution for an elliptic boundary value problem with exponential nonlinearity

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Publication:921251
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DOI10.3792/pjaa.65.74zbMath0709.35042OpenAlexW2074268955MaRDI QIDQ921251

Ken'ichi Nagasaki, Takashi Suzuki

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.74


zbMATH Keywords

singularitiesGreen's functionexponential nonlinearity


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)




Cites Work

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  • Counterexample to a conjecture of H. Hopf
  • Symmetry and related properties via the maximum principle
  • A priori estimates and existence of positive solutions of semilinear elliptic equations
  • Semi-linear second-order elliptic equations in \(L^1\)
  • Asymptotic Solutions for a Dirichlet Problem with an Exponential Nonlinearity
  • On the Asymptotic Solution of a Partial Differential Equation with an Exponential Nonlinearity




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