Multiple positive solutions to a fourth-order boundary-value problem
We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnoselskii's compression-expansion theorem, and unilateral Harnack type inequalit...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/254/abstr.html |
| _version_ | 1818564201570893824 |
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| author | Alberto Cabada Radu Precup Lorena Saavedra Stepan A. Tersian |
| author_facet | Alberto Cabada Radu Precup Lorena Saavedra Stepan A. Tersian |
| author_sort | Alberto Cabada |
| collection | DOAJ |
| description | We study the existence, localization and multiplicity of positive solutions
for a nonlinear fourth-order two-point boundary value problem.
The approach is based on critical point theorems in conical shells,
Krasnoselskii's compression-expansion theorem, and unilateral
Harnack type inequalities. |
| first_indexed | 2024-12-14T01:26:04Z |
| format | Article |
| id | doaj.art-5c0c727e638e48f6a2079c7d91f15bbf |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T01:26:04Z |
| publishDate | 2016-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-5c0c727e638e48f6a2079c7d91f15bbf2022-12-21T23:22:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-09-012016254,118Multiple positive solutions to a fourth-order boundary-value problemAlberto Cabada0Radu Precup1Lorena Saavedra2Stepan A. Tersian3 Univ. de Santiago de Compostela, Galicia, Spain Babes-Bolyai Univ., Cluj-Napoca, Romania Univ. de Santiago de Compostela, Galicia, Spain Bulgarian Academy of Sciences, Sofia, Bulgaria We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnoselskii's compression-expansion theorem, and unilateral Harnack type inequalities.http://ejde.math.txstate.edu/Volumes/2016/254/abstr.htmlFourth-order differential equationboundary-value problempositive solutioncritical pointfixed point |
| spellingShingle | Alberto Cabada Radu Precup Lorena Saavedra Stepan A. Tersian Multiple positive solutions to a fourth-order boundary-value problem Electronic Journal of Differential Equations Fourth-order differential equation boundary-value problem positive solution critical point fixed point |
| title | Multiple positive solutions to a fourth-order boundary-value problem |
| title_full | Multiple positive solutions to a fourth-order boundary-value problem |
| title_fullStr | Multiple positive solutions to a fourth-order boundary-value problem |
| title_full_unstemmed | Multiple positive solutions to a fourth-order boundary-value problem |
| title_short | Multiple positive solutions to a fourth-order boundary-value problem |
| title_sort | multiple positive solutions to a fourth order boundary value problem |
| topic | Fourth-order differential equation boundary-value problem positive solution critical point fixed point |
| url | http://ejde.math.txstate.edu/Volumes/2016/254/abstr.html |
| work_keys_str_mv | AT albertocabada multiplepositivesolutionstoafourthorderboundaryvalueproblem AT raduprecup multiplepositivesolutionstoafourthorderboundaryvalueproblem AT lorenasaavedra multiplepositivesolutionstoafourthorderboundaryvalueproblem AT stepanatersian multiplepositivesolutionstoafourthorderboundaryvalueproblem |