Eigenproblem for p -Laplacian and nonlinear elliptic equation with nonlinear boundary conditions

Verfasser / Beitragende:
[Berrajaa Mohammed, Chakrone Omar, Diyer Fatiha, Diyer Okacha]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/4(2015-04-01), 659-674
Format:
Artikel (online)
ID: 605461856
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024 7 0 |a 10.1007/s10114-015-3662-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3662-5 
245 0 0 |a Eigenproblem for p -Laplacian and nonlinear elliptic equation with nonlinear boundary conditions  |h [Elektronische Daten]  |c [Berrajaa Mohammed, Chakrone Omar, Diyer Fatiha, Diyer Okacha] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Eigenproblem  |2 nationallicence 
690 7 |a p -Laplacian operator  |2 nationallicence 
690 7 |a variational method  |2 nationallicence 
690 7 |a non-resonance problems  |2 nationallicence 
700 1 |a Mohammed  |D Berrajaa  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
700 1 |a Omar  |D Chakrone  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
700 1 |a Fatiha  |D Diyer  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
700 1 |a Okacha  |D Diyer  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/4(2015-04-01), 659-674  |x 1439-8516  |q 31:4<659  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-3662-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-3662-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Mohammed  |D Berrajaa  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Omar  |D Chakrone  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Fatiha  |D Diyer  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Okacha  |D Diyer  |u Department of Mathematics, Faculty of sciences, University Mohamed I, 60000, Oujda, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/4(2015-04-01), 659-674  |x 1439-8516  |q 31:4<659  |1 2015  |2 31  |o 10114