On weak solutions for p-Laplacian equations with weights

被引：0

作者：

Pucci, Patrizia ^{[1
]}

Servadei, Raffaella ^{[2
]}

机构：

[1] Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, 06123 Perugia

[2] Dipartimento di Matematica, Università della Calabria Ponte, 87036 Arcavacata Di Rende, Cosenza, Pietro Bucci

来源：

Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni | 2007年 / 18卷 / 03期

关键词：

P-Laplacian operator; Quasilinear equations; Weak solutions;

D O I：

10.4171/RLM/493

中图分类号：

学科分类号：

摘要：

We summarize the results obtained in the forthcoming papers [32, 33], in which we prove theorems on existence and non-existence of weak solutions of quasilinear singular elliptic equations with weights. We also establish regularity and qualitative properties of the solutions.

引用

页码：257 / 267

页数：10

共 41 条

[1]

Abdellaoui B., Felli V., Peral I., Existence and nonexistence results for quasilinear elliptic equations involving the p-laplacian, Bollettino della Unione Matematica Italiana B, 9, 2, pp. 445-484, (2006)

[2]

Adimurthi, Chaudhuri N., Ramaswamy M., An improved hardy-sobolev inequality and its application, Proc. Amer. Math. Soc., 130, pp. 489-505, (2002)

[3]

Ambrosetti A., Rabinowitz P., Dual variational methods in critical point theory and applications, J. Funct. Anal., 14, pp. 349-381, (1973)

[4]

Berestycki H., Lions P.-L., Nonlinear scalar field equations, I. Existence of a ground state, Archive for Rational Mechanics and Analysis, 82, 4, pp. 313-345, (1983)

[5]

Berestycki H., Lions P.-L., Nonlinear scalar field equations, II. Existence of infinitely many solutions, Archive for Rational Mechanics and Analysis, 82, 4, pp. 347-375, (1983)

[6]

Caldiroli P., Malchiodi A., Singular elliptic problems with critical growth, Comm. Partial Differential Equations, 27, pp. 847-876, (2002)

[7]

Calzolari E., Filippucci R., Pucci P., Existence of radial solutions for the p-Laplacian elliptic equations with weights, Discrete and Continuous Dynamical Systems, 15, 2, pp. 447-479, (2006)

[8]

Chaudhuri N., Ramaswamy M., Existence of positive solutions of some semilinear elliptic equations with singular coefficients, Royal Society of Edinburgh - Proceedings A, 131, 4, pp. 1275-1295, (2001)

[9]

Citti G., Positive solutions for a quasilinear elliptic equation in R<sup>n</sup>, Rend. Circ. Mat. Palermo, 35, pp. 364-375, (1986)

[10]

Clement P., Manasevich R., Mitidieri E., Some existence and non-existence results for a homogeneous quasilinear problem, Asymptotic Analysis, 17, 1, pp. 13-29, (1998)

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