Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results

 Access to full text

 Full (PDF)

1. [1] M. Badiale and E. Nabana, A note on radiality of solutions of p-laplacian equation, Applicable Anal., Vol. 52, 1994, pp. 35-43. Zbl0841.35008MR1380325
2. [2] H. Berestycki and L. Nirenberg, On the method of moving planes and the sliding method, Bol. Soc. Brasileira de Mat. Nova Ser., Vol. 22, 1991, pp. 1-37. Zbl0784.35025MR1159383
3. [3] L. Damascelli, Some remarks on the method of moving planes, to appear. Zbl1040.35032MR1745551
4. [4] E Di Benedetto, C1+a local regularity of weak solutions of degenerate elliptic equations, Nonlin. Anal. T.M.A., Vol. 7(8), 1983, pp. 827-850. Zbl0539.35027MR709038
5. [5] B. Gidas, W.M. Ni and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys., Vol. 68, 1979, pp. 209-243. Zbl0425.35020MR544879
6. [6] D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order, 2nd edition, Springer, 1983. Zbl0562.35001MR737190
7. [7] M. Grossi, S. Kesavan, F. Pacella and M. Ramaswami, Symmetry of positive solutions of some nonlinear equations, to appear. Zbl0927.35039
8. [8] M. Guedda and L. Veron, Quasilinear elliptic equations involving critical Sobolev exponents, Nonlin. Anal. T.M.A., Vol. 13(8), 1989, pp. 879-902. Zbl0714.35032MR1009077
9. [9] S. Kesavan and F. Pacella, Symmetry of positive solutions of a quasilinear elliptic equation via isoperimetric inequalities, Applicable Anal., Vol. 54, 1994, pp. 27-37. Zbl0833.35040MR1382205
10. [10] P. Tolksdorf, On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm. in P.D.E., Vol. 8(7), 1983, pp. 773-817. Zbl0515.35024MR700735
11. [11] P. Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J. Diff. Eqns., Vol. 51, 1984, pp. 126-150. Zbl0488.35017MR727034
12. [12] N.S. Trudinger, On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. on Pure and Applied Math., Vol. XX, 1967, pp. 721-747. Zbl0153.42703MR226198
13. [13] J.L. Vazquez, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim., Vol. 12, 1984, pp. 191-202. Zbl0561.35003MR768629

1. Lucio Damascelli, Filomena Pacella, Monotonicity and symmetry of solutions of $p$-Laplace equations, $1\<p\<2$, via the moving plane method
2. Lucio Damascelli, Filomena Pacella, Monotonicity and symmetry of solutions of $p$-Laplace equations, $1<p<2$, via the moving plane method
3. Akihito Unai, A weak comparison principle for some quasilinear elliptic operators: it compares functions belonging to different spaces