Multiplicity results for a superlinear Dirichlet problem

DOI10.1016/0022-0396(89)90138-1zbMath0709.35040OpenAlexW1963646409MaRDI QIDQ921249

João Carlos N. de Pádua

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90138-1

zbMATH Keywords

Dirichlet problemmultiplicityradial solutionsfirst eigenvaluepositive eigenfunction

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear boundary value problems for ordinary differential equations (34B15) A priori estimates in context of PDEs (35B45) Bifurcations in context of PDEs (35B32)

Cites Work

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• Multiple solutions of semilinear elliptic problems in a ball
• Multiplicity results for superlinear elliptic problems with partial interference with the spectrum
• On superlinear elliptic problems with nonlinearities interacting only with higher eigenvalues
• Symmetry and related properties via the maximum principle
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• Some global results for nonlinear eigenvalue problems
• Some aspects of nonlinear eigenvalue problems
• On the superlinear Ambrosetti-Prodi problem
• A Variational approach to superlinear elliptic problems
• Multiplicity results for Ode's with nonlinearities crossing all but a finite number of eigenvalues

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