Multiplicity of positive solutions for the equation \(\Delta u + \lambda u + u^{2^*-1} =0\) in noncontractible domains

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational principles in infinite-dimensional spaces (58E30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20)

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