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Two Disjoint and Infinite Sets of Solutions for An Elliptic Equation with Critical Hardy-Sobolev-Maz’ya Term and Concave-Convex Nonlinearities


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[1] AMBROSETTI, A.—BREZIS, H.—CERAMI, G.: Combined effects of concave-convex nonlinearities in some elliptic problems, J. Funct. Anal. 122 (1994), 519–543.10.1006/jfan.1994.1078Search in Google Scholar

[2] BARTSCH, T.: Infnitely many solutions of a symmetric Dirichlet problem, Nonlinear Anal. 20 (1993), 1205–1216.10.1016/0362-546X(93)90151-HSearch in Google Scholar

[3] T. BARTSCH, T.—WILLEM, M.: On an elliptic equation with concave and convex non-linearities, Proc. Am. Math. Soc. 123 (1995), 3555–3555.10.1090/S0002-9939-1995-1301008-2Search in Google Scholar

[4] BREZIS, H.—NIRENBERG, L.: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents, Commun. Pure Appl. Math. 36 (1983), 437–477.10.1002/cpa.3160360405Search in Google Scholar

[5] CAO, D.—PENG, S.—YAN, S.: Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth, J. Funct. Anal. 262 (2012), 2861–2902.10.1016/j.jfa.2012.01.006Search in Google Scholar

[6] CAO, D.—YAN, S.: Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential, Calc. Var. Partial Differ. Equ. 38 (2010), 471–501.10.1007/s00526-009-0295-5Search in Google Scholar

[7] G. Devillanova, S. Solimini, Concentration estimates and multiple solutions to elliptic problems at critical growth, Adv. Differ. Equations 7 (2002), 1257–1280.Search in Google Scholar

[8] HAN, P.: Many solutions for elliptic equations with critical exponents, Israel J. Math. 164 (2008), 125–152.10.1007/s11856-008-0023-4Search in Google Scholar

[9] LIU, Z.—HAN, P.: Infinitely many solutions for elliptic systems with critical exponents, J. Math. Anal. Appl. 353 (2009), 544–552.10.1016/j.jmaa.2008.12.024Search in Google Scholar

[10] PENG, S.—WANG, C.: Infnitely many solutions for a Hardy–Sobolev equation involving critical growth, Math. Methods in the Appl. Sci. 38 (2014), no. 2, 197–220.Search in Google Scholar

[11] TRUDINGER, N.: Remarks concerning the conformal deformation of riemannian structures on compact manifolds, Ann. Della Sc. Norm. Super. Di Pisa-Cl. Di Sci. 22 (1968), 265–274.Search in Google Scholar

[12] WANG, C.—YANG, J.: Infinitely many solutions for a Hardy–Sobolev equation involving critical growth, Math. Meth. Appl. Sci. 38 (2013), 197–220.Search in Google Scholar

[13] WILLEM, M.: Minimax Theorems. Birkh¨auser, Boston, Boston, MA, 1996, 5–70.10.1007/978-1-4612-4146-1Search in Google Scholar

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