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Existence and Qualitative Properties of Solutions for Nonlinear Dirichlet Problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Castro, Alfonso Cossio, Jorge |
| Copyright Year | 2016 |
| Abstract | In this paper we study the existence of sign-changing solutions to semilinear elliptic problems in connection with their Morse indices. To this end, we first establish a priori bounds for one-sign solutions. Secondly, using abstract saddle point principles we find large augmented Morse index solutions. In this part, extensive use is made of critical groups, Morse index arguments, Lyapunov-Schmidt reduction, and Leray-Schauder degree. Finally, we provide conditions under which these solutions necessarily change sign and we comment about further qualitative properties. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1512&context=hmc_fac_pub |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Commutation theorem Lyapunov fractal Nonlinear programming Schmidt decomposition Solutions |
| Content Type | Text |
| Resource Type | Article |
