Multiple Solutions for a Class of Generalized Critical Noncooperative Schr & oacute;dinger Systems in R-N
RESULTS IN MATHEMATICS(2023)
摘要
In this paper, we investigate the multiplicity of solutions for a class of noncooperative Schr & ouml;dinger systems in R-N. The systems involves a variable exponent elliptic operators with critical nonlinearity. By applying the Limit Index Theory developed by Li (Nonlinear Anal 25, 1371-1389, 1995) and utilizing a version of the concentration-compactness principle and the principle of symmetric criticality of Krawcewicz and Marzantowicz, we obtain a sequence of solutions under appropriate assumptions.
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关键词
Variable exponent spaces, critical Sobolev exponents, Schrodinger-type problems, p-Laplcian, p(x)-Laplacian, generalized capillary operator, concentration-compactness principle, Palais-Smale condition, limit index theory, critical points theory
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