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Multiple solutions for asymptotically linear resonant elliptic problems

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Publication:1411258
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DOI10.12775/TMNA.2003.014zbMath1112.35077MaRDI QIDQ1411258

Francisco Odair de Paiva

Publication date: 27 October 2003

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)


zbMATH Keywords

Morse theorymultiple solutionsdouble resonanceCerani condition


Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)


Related Items (5)

Semilinear Robin problems resonant at both zero and infinity ⋮ A semilinear elliptic equation with double resonance ⋮ Existence of solutions for an asymptotically linear Dirichlet problem via Lazer-Solimini results ⋮ Multiple solutions for elliptic problems with asymmetric nonlinearity ⋮ Multiple solutions for semilinear resonance elliptic problems with nonconstant coefficients at infinity







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