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References  A. Acker, L. Payne, and G. Philippin, On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary proble , Z.
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Zentralblatt MATH: You have access to this content. A monotonicity result under symmetry and Morse index constraints in the plane.
Entire solutions of semilinear elliptic equations
Francesca Gladiali. A symmetry property for elliptic equations on the sphere Phillipo Lappicy. Amadori , Francesca Gladiali. On the existence of symmetric minimizers Athanasios Stylianou.
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References Publications referenced by this paper. Symmetry results for solutions of semilinear elliptic equations with convex nonlinearities Filomena Pacella. Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains, C.