Geometric properties of superlevel sets of semilinear elliptic equations in convex domains
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Publisher
Springer International Publishing
Link
http://link.springer.com/content/pdf/10.1007/978-3-030-38230-8_16
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3. A. Acker, L.E. Payne, 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 problem, Z. Angew. Math. Phys. 32 (1981), 683-694.
4. O. Alvarez, J.-M. Lasry, P.-L. Lions, Convex viscosity solutions and state constraints, J. Math. Pures Appl. 76 (1997), 265-288.
5. J. Arango, A. Gómez, Critical points of solutions to quasilinear elliptic problems, Nonlinear Anal. 75 (2012), 4375-4381.
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