We study a nonlinear elliptic boundary value problem defined on a smooth bounded domain involving the fractional Laplace operator and a concave-convex term, together with mixed Dirichlet-Neumann boundary conditions.
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I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0177 Tbilisi, Georgia
Georgian Tech Univ, Dept Math, GE-0175 Tbilisi, GeorgiaI Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0177 Tbilisi, Georgia
Berikelashvili, Givi
Khomeriki, Nodar
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Georgian Tech Univ, Dept Math, GE-0175 Tbilisi, GeorgiaI Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0177 Tbilisi, Georgia
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St Petersburg State Univ, Math & Mech Fac, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
St Petersburg State Univ, Chebyshev Lab, 14th Line VO,29B, St Petersburg 199178, RussiaSt Petersburg State Univ, Math & Mech Fac, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
Bakharev, Fedor L.
Exner, Pavel
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Czech Acad Sci, Nucl Phys Inst, Dept Theoret Phys, Rez 25068, Czech Republic
Czech Tech Univ, Doppler Inst Math Phys & Appl Math, Brehova 7, Prague 11519, Czech RepublicSt Petersburg State Univ, Math & Mech Fac, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia