Voir la notice de l'article provenant de la source Cambridge University Press
CORRÊA, FRANCISCO JULIO S. A.; COSTA, AUGUSTO CÉSAR DOS REIS. A VARIATIONAL APPROACH FOR A BI-NON-LOCAL ELLIPTIC PROBLEM INVOLVING THE p(x)-LAPLACIAN AND NON-LINEARITY WITH NON-STANDARD GROWTH. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 317-333. doi: 10.1017/S001708951300027X
@article{10_1017_S001708951300027X,
author = {CORR\^EA, FRANCISCO JULIO S. A. and COSTA, AUGUSTO C\'ESAR DOS REIS},
title = {A {VARIATIONAL} {APPROACH} {FOR} {A} {BI-NON-LOCAL} {ELLIPTIC} {PROBLEM} {INVOLVING} {THE} {p(x)-LAPLACIAN} {AND} {NON-LINEARITY} {WITH} {NON-STANDARD} {GROWTH}},
journal = {Glasgow mathematical journal},
pages = {317--333},
year = {2014},
volume = {56},
number = {2},
doi = {10.1017/S001708951300027X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951300027X/}
}
TY - JOUR AU - CORRÊA, FRANCISCO JULIO S. A. AU - COSTA, AUGUSTO CÉSAR DOS REIS TI - A VARIATIONAL APPROACH FOR A BI-NON-LOCAL ELLIPTIC PROBLEM INVOLVING THE p(x)-LAPLACIAN AND NON-LINEARITY WITH NON-STANDARD GROWTH JO - Glasgow mathematical journal PY - 2014 SP - 317 EP - 333 VL - 56 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951300027X/ DO - 10.1017/S001708951300027X ID - 10_1017_S001708951300027X ER -
%0 Journal Article %A CORRÊA, FRANCISCO JULIO S. A. %A COSTA, AUGUSTO CÉSAR DOS REIS %T A VARIATIONAL APPROACH FOR A BI-NON-LOCAL ELLIPTIC PROBLEM INVOLVING THE p(x)-LAPLACIAN AND NON-LINEARITY WITH NON-STANDARD GROWTH %J Glasgow mathematical journal %D 2014 %P 317-333 %V 56 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708951300027X/ %R 10.1017/S001708951300027X %F 10_1017_S001708951300027X
[1] 1., and , On some non-local eigenvalue problems, Discrete Contin. Dyn. Syst. Ser. S 5 (4) (August 2012), 707–714; doi:10.3934/dcdss.2012.5.707. Google Scholar
[2] 2., and , Positive solutions for a quasilinear elliptic equation of Kirchhoff type, Comput. Math. Appl. 49 (2005), 85–93. Google Scholar | DOI
[3] 3. and , Global existence and finite-time blow-up for a class of nonlocal parabolic problems, Adv. Differ. Equ. 2 (6) (1997), 927–953. Google Scholar
[4] 4. and , Nonlocal problems modelling shear banding, Comm. Appl. Nonlinear Anal. 3 (2) (1996), 79–103. Google Scholar
[5] 5., On a combustion-like model for plastic strain localization, Chapter 2, in Shock induced transitions and phase structure in general media (Fosdick, R.et al., Editors) (Springer-Verlag, New York, 1992). Google Scholar
[6] 6., Does a shear band result from a thermal explosion?, Mech. Mater. 17 (1994), 261–271. Google Scholar | DOI
[7] 7., , and , A special class of stationary flows for two - dimensional Euler equations: A statistical mechanics description, Comm. Math. Phys. 143 (1992), 501–525. Google Scholar
[8] 8., On a nonlocal elliptic equation with decreasing nonlinearity arising in plasma physics and heat conduction, Nonlinear Anal. 32 (1) (1998), 97–115. Google Scholar
[9] 9. and , On an elliptic equation of p-Kirchhof type via variational methods, Bull. Aust. Math. Soc. 74 (2006), 263–277. Google Scholar
[10] 10., Stationary states in plasma physics: Maxwellian solutions of the Vlasov–Poisson system, Math. Models. Meth. Appl. Sci. 1 (1991), 183–148. Google Scholar | DOI
[11] 11., and , Sobolev embedding theorems for spaces Wk,p(x)(Ω), J. Math. Anal. Appl. 262 (2001), 749–760. Google Scholar
[12] 12. and , Existence of solutions for p(x)-Laplacian Dirichlet problems, Nonlinear Anal. 52 (2003), 1843–1852. Google Scholar
[13] 13. and , On the spaces Lp(x) and Wm,p(x), J. Math. Anal. Appl. 263 (2001), 424–446. Google Scholar
[14] 14., and , A strong maximum principle for p(x)-Laplace equations, Chin. J. Contemp. Math. 21 (1) (2000), 1–7. Google Scholar
[15] 15. and , Sur les états déqulibre pour las densités életroniques das les plasmas, RAIRO Modél. Math. Anal. Numér. 23 (1998), 137–153. Google Scholar | DOI
[16] 16. and , On a variational approach to some non-local boundary value problems, Appl. Anal., 84 (9) (September 2005), 909–925. Google Scholar
[17] 17. and , Some results concerning the Poisson–Boltzmann equation, Zastosowania Math. Appl. Math., 21 (2) (1991), 265–272. Google Scholar
[18] 18. and , A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids, Proc. R. Soc. A, 462 (2006), 2625–2641. Google Scholar
[19] 19. and , On a non-homogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent, Proc. Amer. Math. Soc., 135 (9) (September 2007), 2929–2937. Google Scholar | DOI
[20] 20., and , Shear bands as surfaces of discontinuity, J. Mech. Phys. Solids, 42 (1994), 697–709. Google Scholar
[21] 21. and , Nontrivial solutions of Kirchhoff-type problems via Yang index, J. Diff. Equ. 221 (2006), 246–255. Google Scholar | DOI
[22] 22. and , Sign changing solutions of Kirchhoff type problems via invariant sets of descent flows, J. Math. Anal. Appl. 317 (2006), 456–463. Google Scholar
[23] 23., Electrorheological fluids: modelling and mathematical theory (Springer-Verlag, Berlin, Germany, 2000). Google Scholar | DOI
[24] 24., A strong maximum principle for differential equations with non-standardp(x)-growth conditions, J. Math. Anal. Appl. 312 (2005), 24–32. Google Scholar
Cité par Sources :