Singular Doubly Nonlocal Elliptic Problems with Choquard Type Critical Growth Nonlinearities

نویسندگان
چکیده

برای دانلود رایگان 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

On a Class of Nonlocal Elliptic Problems with Critical Growth

This paper is concerned with the existence of positive solutions to the class of nonlocal boundary value problems of the Kirchhoff type − [ M (∫ Ω |∇u|2 dx )] Δu = λ f (x,u)+u in Ω,u(x) > 0 in Ω and u = 0 on ∂Ω, where Ω ⊂ RN , for N=1,2 and 3, is a bounded smooth domain, M and f are continuous functions and λ is a positive parameter. Our approach is based on the variational method.

متن کامل

Degenerate elliptic equations with singular nonlinearities

The behavior of the “minimal branch” is investigated for quasilinear eigenvalue problems involving the p-Laplace operator, considered in a smooth bounded domain of RN , and compactness holds below a critical dimension N #. The nonlinearity f (u) lies in a very general class and the results we present are new even for p = 2. Due to the degeneracy of p-Laplace operator, for p = 2 it is crucial to...

متن کامل

Quasilinear Elliptic Problems with Critical Exponents and Discontinuous Nonlinearities

Using a recent fixed point theorem in ordered Banach spaces by S. Carl and S. Heikkilä, we study the existence of weak solutions to nonlinear elliptic problems −diva(x,∇u) = f (x,u) in a bounded domain Ω ⊂ Rn with Dirichlet boundary condition. In particular, we prove that for some suitable function g , which may be discontinuous, and δ small enough, the p -Laplace equation −div(|∇u|p−2∇u) = |u|...

متن کامل

Critical growth biharmonic elliptic problems under Stekloff - type boundary conditions ∗

We study the fourth order nonlinear critical problem ∆u = u ∗−1 in a smooth bounded domain Ω ⊂ R, n ≥ 5, subject to the boundary conditions u = ∆u−duν = 0 on ∂Ω. We provide estimates for the range of parameters d ∈ R for which this problem admits a positive solution. If the domain is the unit ball, we obtain an almost complete description.

متن کامل

Nonlocal Problems at Nearly Critical Growth

We study the asymptotic behavior of solutions to the nonlocal nonlinear equation (−∆p) u = |u|u in a bounded domain Ω ⊂ R as q approaches the critical Sobolev exponent p∗ = Np/(N − ps). We prove that ground state solutions concentrate at a single point x̄ ∈ Ω and analyze the asymptotic behavior for sequences of solutions at higher energy levels. In the semi-linear case p = 2, we prove that for s...

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: The Journal of Geometric Analysis

سال: 2020

ISSN: 1050-6926,1559-002X

DOI: 10.1007/s12220-020-00441-y