On a singular elliptic problem with variable exponent

被引：2

作者：

Faraci, Francesca ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Catania, Italy

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2023年 / 68卷 / 01期

关键词：

Singular elliptic problem; variable exponent; variational methods; POSITIVE SOLUTIONS; MULTIPLICITY; EXISTENCE; THEOREMS;

D O I：

10.24193/subbmath.2023.1.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present note we study a semilinear elliptic Dirichlet problem involving a singular term with variable exponent of the following type { -Delta u = f(x) / u(gamma)(x) , in Omega u > 0, in Omega u = 0, on partial derivative Omega Existence and uniqueness results are proved when f >= 0. (P)

引用

页码：43 / 50

页数：8

共 17 条

[1] Agmon S., 1959, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser., V13, P405
[2] Bal K, 2021, ADV DIFFERENTIAL EQU, V26, P535
[3] Semilinear elliptic equations with singular nonlinearities
Boccardo, Lucio
Orsina, Luigi
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 37 (3-4) : 363 - 380
[4] Canino A, 2004, J CONVEX ANAL, V11, P147
[5] A uniqueness result for some singular semilinear elliptic equations
Canino, Annamaria
Sciunzi, Berardino
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (06)
[6] Existence and uniqueness for p-Laplace equations involving singular nonlinearities
Canino, Annamaria
Sciunzi, Berardino
Trombetta, Alessandro
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2016, 23 (02):
[7] A Singular Semilinear Elliptic Equation with a Variable Exponent
Carmona, Jose
Martinez-Aparicio, Pedro J.
[J]. ADVANCED NONLINEAR STUDIES, 2016, 16 (03) : 491 - 498
[8] THREE SOLUTIONS FOR A SINGULAR QUASILINEAR ELLIPTIC PROBLEM
Faraci, Francesca
Smyrlis, George
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2019, 62 (01) : 179 - 196
[9] Fulks W., 1960, Osaka Math. J, V12, P1
[10] Giacomoni J, 2007, ANN SCUOLA NORM-SCI, V6, P117

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