Weakly nonlinear Dirichlet problems on long or thin domains

DOI10.1090/memo/0501zbMath0788.35005OpenAlexW1987152540MaRDI QIDQ3137745

E. Norman Dancer

Publication date: 13 October 1993

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0501

zbMATH Keywords

thin domainspositive solutionssmooth boundarystable solutionsexistence, uniqueness and asymptotic behaviourlong domainsunstable sulutionsweakly nonlinear Dirichlet problems

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) Perturbations in context of PDEs (35B20)

Related Items (3)

Some remarks on the stability of sign changing solutions ⋮ On the uniqueness of the positive solution of a singularly perturbed problem ⋮ Unnamed Item

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