(p, q)-Equations with Negative Concave Terms
dc.contributor.author | Crespo-Blanco, Ángel | |
dc.contributor.author | Papageorgiou, Nikolaos S. | |
dc.contributor.author | Winkert, Patrick | |
dc.date.accessioned | 2023-01-27T11:44:01Z | |
dc.date.available | 2023-01-27T11:44:01Z | |
dc.date.issued | 2022-10-27 | |
dc.description.abstract | In this paper, we study a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction that has the combined effects of a negative concave term and of an asymmetric perturbation which is superlinear on the positive semiaxis and resonant in the negative one. We prove a multiplicity theorem for such problems obtaining three nontrivial solutions, all with sign information. Furthermore, under a local symmetry condition, we prove the existence of a whole sequence of sign-changing solutions converging to zero in C10(Ω¯¯¯¯). | en |
dc.description.sponsorship | TU Berlin, Open-Access-Mittel – 2022 | |
dc.description.sponsorship | DFG, 390685689, EXC 2046: MATH+: Berlin Mathematics Research Center | |
dc.identifier.eissn | 1559-002X | |
dc.identifier.issn | 1050-6926 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/18087 | |
dc.identifier.uri | https://doi.org/10.14279/depositonce-16880 | |
dc.language.iso | en | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject.ddc | 510 Mathematik | de |
dc.subject.other | concave and convex nonlinearities | en |
dc.subject.other | constant sign and nodal solutions | en |
dc.subject.other | critical groups | en |
dc.subject.other | (p, q)-Laplacian | en |
dc.subject.other | regularity theory | en |
dc.subject.other | resonance | en |
dc.title | (p, q)-Equations with Negative Concave Terms | en |
dc.type | Article | |
dc.type.version | publishedVersion | |
dcterms.bibliographicCitation.articlenumber | 5 | |
dcterms.bibliographicCitation.doi | 10.1007/s12220-022-01044-5 | |
dcterms.bibliographicCitation.journaltitle | The journal of geometric analysis | |
dcterms.bibliographicCitation.originalpublishername | Springer Nature | |
dcterms.bibliographicCitation.originalpublisherplace | Heidelberg | |
dcterms.bibliographicCitation.volume | 33 | |
dcterms.rightsHolder.reference | Creative-Commons-Lizenz | |
tub.accessrights.dnb | free | |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::N/A (Not Applicable) | |
tub.publisher.universityorinstitution | Technische Universität Berlin |