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Schrödinger‐Poisson system with Hardy‐Littlewood‐Sobolev critical exponent

Mathematical Methods in the Applied Sciences, 2019
In this paper, we consider the following Schrödinger‐Poisson system: urn:x-wiley:mma:media:mma5694:mma5694-math-0001 where parameters α,β∈(0,3),λ>0, , , and are the Hardy‐Littlewood‐Sobolev critical exponents. For α<β and λ>0, we prove the existence of nonnegative groundstate solution to above system.
Yu Su, Li Wang, Tao Han
openaire   +2 more sources

On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent

Nonlinear Analysis: Theory, Methods & Applications, 1995
Andrzej Szulkin, Jan Chabrowski
exaly  

Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent

Nonlinear Analysis: Theory, Methods & Applications, 2010
Yanqin Fang
exaly  

Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent

Journal of Mathematical Analysis and Applications, 2010
Tiexiang Li, Tsung-Fang Wu
exaly  

On a nonlinear fourth-order elliptic equation involving the critical Sobolev exponent

Nonlinear Analysis: Theory, Methods & Applications, 2003
François Ebobisse
exaly  

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