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

Annales de l'I.H.P. Analyse non linéaire (1998)

- Volume: 15, Issue: 4, page 493-516
- ISSN: 0294-1449

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topDamascelli, Lucio. "Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results." Annales de l'I.H.P. Analyse non linéaire 15.4 (1998): 493-516. <http://eudml.org/doc/78445>.

@article{Damascelli1998,

author = {Damascelli, Lucio},

journal = {Annales de l'I.H.P. Analyse non linéaire},

keywords = {-Laplacian; differential inequalities; moving planes; sliding method},

language = {eng},

number = {4},

pages = {493-516},

publisher = {Gauthier-Villars},

title = {Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results},

url = {http://eudml.org/doc/78445},

volume = {15},

year = {1998},

}

TY - JOUR

AU - Damascelli, Lucio

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

JO - Annales de l'I.H.P. Analyse non linéaire

PY - 1998

PB - Gauthier-Villars

VL - 15

IS - 4

SP - 493

EP - 516

LA - eng

KW - -Laplacian; differential inequalities; moving planes; sliding method

UR - http://eudml.org/doc/78445

ER -

## References

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- [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] 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] P. Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J. Diff. Eqns., Vol. 51, 1984, pp. 126-150. Zbl0488.35017MR727034
- [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] J.L. Vazquez, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim., Vol. 12, 1984, pp. 191-202. Zbl0561.35003MR768629

## Citations in EuDML Documents

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

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