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
- J. Henderson, S.K. Ntouyas, I.K. Purnaras, Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Ferenc Szidarovszky, Vernon L. Smith, Steven Rassenti, Cournot Models: Dynamics, Uncertainty and Learning , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Carl Chiarella, Ferenc Szidarovszky, Dynamic Oligopolies and Intertemporal Demand Interaction , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Tamar Kugler, Ferenc Szidarovszky, An Inter-Group Conflict and its Relation to Oligopoly Theory , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- D. Constales, R. De Almeida, R.S. Krausshar, A Generalization of Wiman and Valiron‘s theory to the Clifford analysis setting , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Alessandro Perotti, Regular quaternionic functions and conformal mappings , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Mircea Balaj, Donal O‘Regan, An Intersection Theorem and its Applications , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Martin V¨ath, A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Tomonari Suzuki, Browder Convergence and Mosco Convergence for Families of Nonexpansive Mappings , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
<< < 14 15 16 17 18 19 20 21 22 23 24 25 > >>
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
