2012
DOI: 10.1016/j.mcm.2011.09.007
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Multiple solutions for weighted nonlinear elliptic system involving critical exponents

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Cited by 7 publications
(4 citation statements)
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“…Thus it is necessary for us to investigate the critical p-Laplacian systems (1.1) deeply. For more similar problems, we refer to [8][9][10][11][12][13][14][15][16][17], and references therein.…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
“…Thus it is necessary for us to investigate the critical p-Laplacian systems (1.1) deeply. For more similar problems, we refer to [8][9][10][11][12][13][14][15][16][17], and references therein.…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
“…Thus it is necessary for us to investigate the critical biharmonic elliptic system (1.1) deeply. We also refer to more related systems, which can be seen in [2,8,14,15,16,17,20] and references therein.…”
Section: Nmentioning
confidence: 99%
“…Via the analytic techniques of Nehari manifold and variational methods, the author proved that the system (4) admits at least two nontrivial nonnegative solutions if the pair of parameters ( , ) belongs to a certain subset of R 2 . Very recently, Nyamoradi [16], Lü and Xiao [17], and Li and Gao [18] generalized the corresponding results of [15] to the nonlinear singular elliptic systems involving critical Hardy-Sobolev exponents. Other results about existence and multiplicity of nontrivial solutions, also for related elliptic systems, can be seen in [19][20][21][22][23] and the references therein.…”
Section: Introductionmentioning
confidence: 96%