Singular quasilinear elliptic systems with gradient dependence

نویسندگان

چکیده

In this paper, we prove existence and regularity of positive solutions for singular quasilinear elliptic systems involving gradient terms. Our approach is based on comparison properties, a priori estimates Schauder’s fixed point theorem.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Positive Solutions of Quasilinear Elliptic Systems with Strong Dependence on the Gradient

We study existence and nonexistence of positive, spherically symmetric solutions of diagonal quasilinear elliptic systems involving equations with p-Laplacians, and with strong dependence on the gradient on the right-hand side. The existence proof is constructive, with solutions possessing explicit integral representation. Also, we obtain critical exponents of the gradient. We introduce the not...

متن کامل

Solvability of Quasilinear Elliptic Equations with Strong Dependence on the Gradient

We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its gradient. The elliptic problem is studied by relating it to the corresponding singular ordinary integro-differential equation. Solvability ran...

متن کامل

ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

In this paper, we consider the existence of a non-trivial weaksolution to a quasilinear elliptic system involving critical Hardyexponents. The main issue of the paper is to understand thebehavior of these Palais-Smale sequences. Indeed, the principaldifficulty here is that there is an asymptotic competition betweenthe energy functional carried by the critical nonlinearities. Thenby the variatio...

متن کامل

Existences and Boundary Behavior of Boundary Blow-up Solutions to Quasilinear Elliptic Systems with Singular Weights

Using the method of explosive sub and supper solution, the existence and boundary behavior of positive boundary blow up solutions for some quasilinear elliptic systems with singular weight function are obtained under more extensive conditions.

متن کامل

On Periodic Elliptic Equations with Gradient Dependence

We construct entire solutions of ∆u = f(x, u,∇u) which are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Positivity

سال: 2022

ISSN: ['1572-9281', '1385-1292']

DOI: https://doi.org/10.1007/s11117-022-00868-3