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The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-Type Terms

The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-Type Terms
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摘要 In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounded domains. We prove that the equation has at least two positive solutions when the parameters A belongs to a certain subset of JR.
出处 《Journal of Partial Differential Equations》 2013年第3期193-216,共24页 偏微分方程(英文版)
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  • 1Caffarelli L., Kohn R., Nirenberg L., First order interpolation inequality with weights. Comp. Math., 53 (1984), 259-275.
  • 2Catrina El wang z., On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, exis- tence (and nonexistence), and symmetry of extremal functions. Comm. Pure Appl. Math., 54 (2001), 229-258.
  • 3Chou K. S., Chu C. W., On the best constant for a weighted Sobolev-Hardi inequality. Comm. J. Lond. Math. Soc., 48 (1993), 137-151.
  • 4Ferrero A., Gazzola E, Existence of solutions for singular critical growth semilinear elliptic equations. J. Differential Equations, 177 (2001), 494-522.
  • 5Abdellaoui B., Felli V., Peral I., Existence and nonexistence for quasilinear equations involv- ing the p-Laplacian. Boll. Unione Mat. Ital. Sez., B9 (2006), 445-484.
  • 6Cao Y., Kang D., Solutions of aquasilinear elliptic problem involving a critical Sobolev ex- ponent and multiple Hardy-type terms. J. Math. Anal. Appl., 333 (2007), 889-903.
  • 7Cao D., Han P., Solutions to critical elliptic equations with multi- singular inverse square potentials. J. Differential Equations, 224 (2006), 332-372.
  • 8Felli V., Terrcini S., Elliptic equations with multi- singular inverse square potentials critical nonlinearity. Comm. Partial Differential Equations, 31 (2006), 469-495.
  • 9Brown K. J., Zhang Y., The nehari manifold for a semilinear elliptic problem with a sign changing weight function. J. Differential Equations, 193 (2003), 481-499.
  • 10Drabek P., Pohozaev S. I., Positive solutions for the p-Laplacian: application of the fibering method. Proc. Roy. Soc. Edinburg Sect. A, 127(1997), 703-726.

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