caa a22 4500 605461856 CHVBK 20210128100245.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10114-015-3662-5 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3662-5 Eigenproblem for p -Laplacian and nonlinear elliptic equation with nonlinear boundary conditions [Elektronische Daten] [Berrajaa Mohammed, Chakrone Omar, Diyer Fatiha, Diyer Okacha] In this article, we study the solvability of nonlinear problem for p-Laplacian with nonlinear boundary conditions. We give some characterization of the first eigenvalue of an intermediary eigenvalue problem as simplicity, isolation and its strict monotonicity. Afterward, we character also the second eigenvalue and its strictly partial monotony. On the other hand, in some sense, we establish the non-resonance below the first and furthermore between the first and second eigenvalues of nonlinear Steklov-Robin. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Eigenproblem nationallicence p -Laplacian operator nationallicence variational method nationallicence non-resonance problems nationallicence Mohammed Berrajaa Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut Omar Chakrone Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut Fatiha Diyer Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut Okacha Diyer Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/4(2015-04-01), 659-674 1439-8516 31:4<659 2015 31 10114 https://doi.org/10.1007/s10114-015-3662-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3662-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mohammed Berrajaa Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut NATIONALLICENCE 700 1- Omar Chakrone Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut NATIONALLICENCE 700 1- Fatiha Diyer Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut NATIONALLICENCE 700 1- Okacha Diyer Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/4(2015-04-01), 659-674 1439-8516 31:4<659 2015 31 10114