On the number of positive solutions of some weakly nonlinear equations on annular regions

DOI10.1007/BF02571362zbMath0705.35043OpenAlexW2057333317MaRDI QIDQ917788

E. Norman Dancer

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174243

zbMATH Keywords

uniquenesspositive solutionsnumber of positive solutionssmall holes

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

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Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli, Some notes on the method of moving planes, Singular variation of domains and continuity property of eigenfunction for some semi-linear elliptic equations, Infinitely many turning points for some supercritical problems, Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli, Existence of large positive solutions of some nonlinear elliptic $si:equations on singularly perturbed doamins, Symmetric and asymmetric solutions of \(p\)-Laplace elliptic equations in hollow domains, Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains, Multiple positive solutions of the Emden-Fowler equation in hollow thin symmetric domains, Effect of symmetry to the structure of positive solutions in nonlinear elliptic problems

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