We deal with the existence of infinitely many solutions for a class of elliptic problems with non-symmetric nonlinearities. Our result, which is motivated by a well known conjecture formulated by A. Bahri and P.L. Lions, suggests a new approach to tackle these problems. The proof is based on a method which does not require to use techniques of deformation from the symmetry and may be applied to more general non-symmetric problems.
Molle, R., Passaseo, D. (2022). Infinitely many solutions for elliptic equations with non-symmetric nonlinearities. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 61(3) [10.1007/s00526-022-02223-6].
Infinitely many solutions for elliptic equations with non-symmetric nonlinearities
Riccardo Molle;
2022-01-01
Abstract
We deal with the existence of infinitely many solutions for a class of elliptic problems with non-symmetric nonlinearities. Our result, which is motivated by a well known conjecture formulated by A. Bahri and P.L. Lions, suggests a new approach to tackle these problems. The proof is based on a method which does not require to use techniques of deformation from the symmetry and may be applied to more general non-symmetric problems.| File | Dimensione | Formato | |
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