Certain weakly nonlinear partial differential equations on annuli

DOI10.1016/0362-546X(90)90084-TzbMath0695.35077OpenAlexW2095918913MaRDI QIDQ3470860

E. Norman Dancer

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90084-t

zbMATH Keywords

number of positive solutionssemilinear Laplace equationshape of the domainannular type domains

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 (2)

On Limits Of Solutions Of Elliptic Problems With Nearly Critical Exponent ⋮ On the number of positive solutions of some weakly nonlinear equations on annular regions

Cites Work

• On positive solutions of some pairs of differential equations. II
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On the Number of Positive Solutions of Weakly Non-Linear Elliptic Equations when a Parameter is Large
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0

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