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Radial solutions of semilinear elliptic equations with broken symmetry on unbounded domains

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  • We study a superlinear perturbed elliptic problem on $\mathbb R^N$ with rotational symmetry. Using variational and perturbative methods we find infinitely many radial solutions for any growth exponent $p$ of the nonlinearity greater than $2$ and less than $2^*$ if $N \geq 4$ and for any $p$ greater than $3$ and subcritical if $N =3$.
    Mathematics Subject Classification: Primary: 35J20; Secondary: 35B38, 58E05.

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