A positive solution for some critical p -Laplacian systems

Verfasser / Beitragende:
[Xiao Wang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/3(2015-03-01), 479-500
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4130-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4130-y 
100 1 |a Wang  |D Xiao  |u College of Science, University of Shanghai for Science and Technology, 200090, Shanghai, P. R. China  |4 aut 
245 1 2 |a A positive solution for some critical p -Laplacian systems  |h [Elektronische Daten]  |c [Xiao Wang] 
520 3 |a This paper deals with the existence of a positive solution for two classes of critical quasilinear system. We prove these results by a variant of mountain pass lemma, combining two convergence theorems and two estimate results. Here we avoid the usual compactness arguments (e.g., Palais-Smale condition or Cerami condition) and reveal the potential of some energy level estimates for the existence of nontrivial solutions. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a p -Laplacian system  |2 nationallicence 
690 7 |a critical growth  |2 nationallicence 
690 7 |a convergence theorem  |2 nationallicence 
690 7 |a estimate result  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 479-500  |x 1439-8516  |q 31:3<479  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4130-y  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4130-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Wang  |D Xiao  |u College of Science, University of Shanghai for Science and Technology, 200090, Shanghai, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/3(2015-03-01), 479-500  |x 1439-8516  |q 31:3<479  |1 2015  |2 31  |o 10114