Uniqueness for elliptic equations when a parameter is large

DOI10.1016/0362-546X(84)90080-4zbMath0526.35032OpenAlexW2130772678MaRDI QIDQ3041623

E. Norman Dancer

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90080-4

zbMATH Keywords

uniquenessnon-trivial positive solution

Mathematics Subject Classification ID

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)

Related Items (14)

Unnamed Item ⋮ The Brezis-Oswald result for quasilinear Robin problems ⋮ Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large ⋮ Existence and uniqueness of positive solutions for the Neumann \(p\)-Laplacian ⋮ Uniqueness for a class of singular quasilinear Dirichlet problem ⋮ Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems ⋮ Uniqueness for a class p-Laplacian problems when a parameter is large ⋮ Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting. II ⋮ On the number of positive solutions for quasilinear elliptic eigenvalue problems ⋮ Multiple positive solutions for nonlinear eigenvalue problems with the \(p\)-Laplacian ⋮ On the number of positive solutions for nonlinear elliptic equations when a parameter is large ⋮ Towards a Brezis-Oswald-type result for fractional problems with Robin boundary conditions ⋮ Loss of stability at turning points in nonlinear elliptic variational inequalities ⋮ A uniqueness result for a class of singular 𝑝-Laplacian Dirichlet problem with non-monotone forcing term

Cites Work

• On the structure of solutions of an equation in catalysis theory when a parameter is large
• Symmetry and related properties via the maximum principle
• Steady states of the reaction-diffusion equations. Part II: Uniqueness of solutions and some special cases
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Uniqueness results for a class of positone problems

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