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Existence of nontrivial nonradial solutions for the nonlinear Helmholtz equation
Let $N\geq 3$ , let $Q$ be the coefficient in the nonlinear Helmholtz equation, and let $p>\frac{2N}{N-1}$ . No sign condition is imposed on $Q$ . Nonradial-solution conjecture. There…
Conjectureopennonlinear-helmholtz-equations nonradial-solutions partial-differential-equationsarXiv posted 2 days ago

Existence of nontrivial nonradial solutions for the nonlinear Helmholtz equation