A Two-Dimensional Dirichlet Problem with an Exponential Nonlinearity

DOI10.1137/0514073zbMath0543.35036OpenAlexW1987633340MaRDI QIDQ3331612

James L. Moseley

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514073

zbMATH Keywords

asymptotic solutionNewton's methodapproximationthird-order asymptotic solutionexponential nonlinearitynonlinear Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35)

Related Items (8)

Some Results for the Gelfand's Problem ⋮ Asymptotic behavior of conformal metrics on torus ⋮ Construction of singular limits for four-dimensional elliptic problems with exponentially dominated nonlinearity ⋮ Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity ⋮ On the symmetry of blowup solutions to a mean field equation ⋮ On the existence of blowing-up solutions for a mean field equation ⋮ \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations ⋮ Everywhere regularity for vectorial functionals with general growth

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