Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups
-
Ravi P. Agarwal
agarwal@fit.edu
-
Michael E. Filippakis
mfilip@math.ntua.gr
-
Donal O‘Regan
donal.oregan@nuigalway.ie
-
Nikolaos S. Papageorgiou
npapg@math.ntua.gr
Downloads
Abstract
We consider a semilinear elliptic equation, with a right hand side nonlinearity which may grow linearly. Throughout we assume a double resonance at infinity in the spectral interval [λ1, λ2]. In this paper, we can also have resonance at zero or even double resonance in the order interval [λm, λm+1], m ≥ 2. Using Morse theory and in particular critical groups, we prove two multiplicity theorems.
Keywords
Most read articles by the same author(s)
- Mircea Balaj, Donal O‘Regan, An Intersection Theorem and its Applications , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Donal O‘Regan, Reza Saadati, â„’ -Random and Fuzzy Normed Spaces and Classical Theory , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Aris Aghanians, Donal O‘Regan, Kamal Fallahi, Kourosh Nourouzi, Some coupled coincidence point theorems in partially ordered uniform spaces , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- Yuqing Chen, Donal O‘Regan, Ravi P. Agarwal, Degree theory for the sum of VMO maps and maximal monotone maps , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Chengjun Guo, Donal O‘Regan, Ravi P. Agarwal, Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Donal O‘Regan, Fixed point theory for compact absorbing contractions in extension type spaces , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Triple solutions of constant sign for a system of fredholm integral equations , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
Similar Articles
- P. Jeyanthi, K. Jeya Daisy, Andrea SemaniÄová-feňovÄíková, \(Z_k\)-magic labeling of path union of graphs , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- Boukhemis Ammar, On the classical 2−orthogonal polynomials sequences of Sheffer-Meixner type , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- M.I. Belishev, A.F. Vakulenko, On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Rodrigue Sanou, Idrissa Ibrango, Blaise Koné, Aboudramane Guiro, Weak solutions to Neumann discrete nonlinear system of Kirchhoff type , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Toka Diagana, Pseudo Almost Periodic Solutions to a Neutral Delay Integral Equation , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Sushanta Kumar Mohanta, Common Fixed Point Results in C∗-Algebra Valued b-Metric Spaces Via Digraphs , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- Homero G. Díaz-Marín, Osvaldo Osuna, Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- U. Traoré, Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- S. S. Dragomir, Some integral inequalities related to Wirtinger's result for \(p\)-norms , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Aboudramane Guiro, Idrissa Ibrango, Stanislas Ouaro, Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
<< < 11 12 13 14 15 16 17 18 19 20 21 22 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2008-10-01
How to Cite
[1]
R. P. Agarwal, M. E. Filippakis, D. O‘Regan, and N. S. Papageorgiou, “Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups”, CUBO, vol. 10, no. 3, pp. 21–41, Oct. 2008.
Issue
Section
Articles
