Multiple solutions for resonant semilinear elliptic problems in \(\mathbb R^N\)
DOI10.1016/J.JMAA.2004.12.013zbMath1160.35407OpenAlexW2009046543MaRDI QIDQ1771406
Gabriel López Garza, Adolfo J. Rumbos
Publication date: 21 April 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.013
Morse indexResonanceLandesman-Lazer conditionLeray-Schauder indexSaddle pointMountain pass type critical point
Variational methods involving nonlinear operators (47J30) 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)
Cites Work
- A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
- Positive solutions of a semilinear elliptic equation on \(\mathbb{R}^ N\) with indefinite nonlinearity
- A Note on the Topological Degree at a Critical Point of Mountainpass-Type
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Multiple Nontrivial Solutions of Resonant and Nonresonant Asymptotically Linear Problems
- Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n
- Principal eigenvalues for indefinite weight problems in all of ℝ^{𝕕}
- Multiple solutions of semilinear elliptic problems at resonance
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