References

MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS INVOLVING HARDY TERMS AND CRITICAL SOBOLEV-HARDY EXPONENTS


[1] A. Ambrosetti, J. Garcia-Azorero and I. Peral, Multiplicity results for some nonlinear elliptic equations, J. Funct. Anal. 137 (1996), 219-242.

[2] T. Barstch and M. Willem, On a elliptic equation with concave and convex nonlinearities, Proc. Amer. Math. Soc. 123 (1995), 3555-3561.

[3] M. Bouchekif and A. Matallah, Multiple positive solutions for elliptic equations involving a concave terms and critical Sobolev-Hardy exponent, Appl. Math. Lett. 22 (2009), 268-275.

[4] H. Brézis and E. Lieb, A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc. 88 (1983), 486-490.

[5] K. J. Brown and Y. Zhang, The Nehari manifold for a semilinear elliptic equation with a sign-changing weigh function, J. Diff. Equns. 193 (2003), 481-499.

[6] K. J. Brown and T. F. Wu, A semilinear elliptic system involving nonlinear boundary condition and sign-changing weigh function, J. Math. Anal. Appl. 337 (2008), 1326-1336.

[7] A. Capozzi, D. Fortunato and G. Palmieri, An existence result for nonlinear elliptic problems involving critical Sobolev exponent, Ann. Inst. H. Poincaré Anal. Non Linéaire 2 (1985), 463-470.

[8] J. Chen, Multiple positive solutions for a class of nonlinear elliptic equations, J. Math. Anal. Appl. 295 (2004), 341-354.

[9] I. Ekeland, On the variational principle, J. Math. Anal. Appl. 17 (1974), 324-353.

[10] N. Ghoussoub and C. Yuan, Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents, Tran. Amer. Math. Soc. 352 (2000), 5703-5743.

[11] D. Kang and S. Peng, Positive solutions for singular critical elliptic problems, Appl. Math. Lett. 17 (2004), 411-416.

[12] G. Tarantello, On nonhomogeneous elliptic involving critical Sobolev exponent, Ann. Inst. H. Poincaré Anal. Non Linéaire 9 (1992), 281-304.

[13] G. Tarantello, Multiplicity results for an inhomogeneous Neumann problem with critical exponent, Manuscripta Math. 18 (1993), 57-78.