No Gidas-Ni-Nirenberg type result for semilinear biharmonic problems

Mathematische Nachrichten

Volumn 246-247, Issue , 2002, Pages 202-206

  Sweers, G ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Biharmonic; Positivity; Symmetry

Indexed keywords

EID: 0036921648     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200212)246:1<202::AID-MANA202>3.0.CO;2-G     Document Type: Article

References (6)

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2. Brock, F.: personal communication, Oberwolfach Report 31/2001.
3. Gidas, B., Ni, Wei Ming, and Nirenberg, L.: Symmetry and Related Properties via the Maximum Principle, Comm. Math. Phys. 68 (1979), 209-243.
4. Grunau, H.-Ch., and Sweers, G.: Nonexistence of Local Minima of Supersolutions for the Circular Clamped Plate, Pacific J. Math. 198 (2001), 437-442.
5. Serrin, J.: A Symmetry Problem in Potential Theory, Arch. Rational Mech. Anal. 43 (1971), 304-318.
6. Soranzo, R.: A Priori Estimates and Existence of Positive Solutions of a Superlinear Polyharmonic Equation, Dynam. Systems Appl. 3 (1994), 465-487.