Multiple solutions with precise sign for nonlinear parametric Robin problems
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Publication:2438109
DOI10.1016/j.jde.2014.01.010zbMath1287.35010OpenAlexW2150651299MaRDI QIDQ2438109
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu
Publication date: 10 March 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.01.010
Morse theoryextremal solutionsnonlinear maximum principlenonlinear regularitynodal and constant sign solutionsRobin \( p\)-Laplacian
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The spectrum and an index formula for the Neumann \(p\)-Laplacian and multiple solutions for problems with a crossing nonlinearity
- \(L^\infty\)-estimates for nonlinear elliptic Neumann boundary value problems
- Handbook of applied analysis
- Existence of five nonzero solutions with exact sign for a \(p\)-Laplacian equation
- Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
- A note on a result of Ambrosetti and Mancini
- The beginning of the Fučik spectrum for the \(p\)-Laplacian
- A strong maximum principle for some quasilinear elliptic equations
- Eigenvalue problems for the \(p\)-Laplacian
- Multiple solutions for nonlinear Neumann problems driven by a nonhomogeneous differential operator
- On a class of nonlinear dirichlet problems with multiple solutions
- Boundary regularity for solutions of degenerate elliptic equations
- Sharp nonuniqueness results for some nonlinear problems
- SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
- On some quasilinear equations involving the p-Laplacian with Robin boundary conditions
- A multiplicity theorem for problems with the \(p\)-Laplacian
- Critical point theory on partially ordered Hilbert spaces
- Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues