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Note establishes infinitely many solutions in nonlinear scalar field equations, suggesting diverse behaviors in potentials.
We are interested in the multiplicity of solutions to the following scalar field equation - u - (N-2)²/4|x|² u = g(u), in RN \0\. - Δ u - ( N - 2 ) 2 4 | x | 2 u = g ( u ) , in R N \ { 0 } . We establish the existence of infinitely many radial and nonradial solutions.
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Bieganowski et al. (2026) studied this question.
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