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Nonhomogeneous hemivariational inequalities with indefinite potential and Robin boundary conditionPapageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the ... Clarke subdifferential of a locally Lipschitz integrand. We assume that asymptotically this term is resonant with respect the principal eigenvalue (from the left). We prove the existence of three nontrivial smooth solutions, two of constant sign and the third nodal. We also show the existence of extremal constant sign solutions. The tools come from nonsmooth critical point theory and from global optimization (direct method).Source: Journal of optimization theory and applications. - ISSN 0022-3239 (Vol. 175, iss. 2, Nov. 2017, str. 293-323)Type of material - article, component part ; adult, seriousPublish date - 2017Language - englishCOBISS.SI-ID - 18130265
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source: Journal of optimization theory and applications. - ISSN 0022-3239 (Vol. 175, iss. 2, Nov. 2017, str. 293-323)
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Papageorgiou, Nikolaos, 1958- | 38771 |
Rǎdulescu, Vicenţiu, 1958- | 29964 |
Repovš, Dušan, 1954- | 07083 |
Source: Personal bibliographies
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