Quasilinear Dirichlet Problems with Degenerated p-Laplacian and Convection Term
نویسندگان
چکیده
The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing convection term. presence of the operator forces substantial change to functional setting previous works. existence location solutions through is established. abstract result applied find nontrivial, nonnegative bounded solutions.
منابع مشابه
Existence Results For Dirichlet Problems With Degenerated p-Laplacian And p-Biharmonic Operators∗
In this article, we prove the existence and uniqueness of solutions for the Dirichlet problem (P ) { ∆(ω(x)|∆u|∆u)− div[ω(x)|∇u|∇u] = f(x)− div(G(x)), in Ω u(x) = 0, in ∂Ω where Ω is a bounded open set of R (N≥2), f∈L (Ω, ω) and G/ω∈[L (Ω, ω)] .
متن کاملLifting solutions of quasilinear convection-dominated problems
The steady state of the quasilinear convection-diffusion-reaction equation ut −∇(D(u)∇u) + b(u)∇u+ c(u) = 0 (1) is studied. Depending on the ratio between convection and diffusion coefficients, equation (1) ranges from parabolic to almost hyperbolic. From a numerical point of view two main difficulties can arise related with the existence of layers and/or the non smoothness of the coefficients....
متن کاملMultiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p 1,…, p n)-Laplacian Operator
Existence results of three weak solutions for a Dirichlet double eigenvalue quasilinear elliptic system involving the (p1,…, pn)-Laplacian operator, under suitable assumptions, are established. Our main tool is based on a recent three-critical-point theorem obtained by Ricceri. We also give some examples to illustrate the obtained results.
متن کاملThe Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains. By using the variational method, especially Nehari manifold and Palais-Smale condition, we prove the existence and multiplicity results of positive solutions.
متن کاملON THE NONLINEAR DIRICHLET PROBLEM WITH p(i)-LAPLACIAN
for A; = 0 ,1 , . . . and with suitable assumptions on V which are valid for the p(x)Laplacian operator. Following some ideas from [11] we construct a dual variational method which applies to more general type of nonlinearities than those that are subject to a Palais-Smale type condition. We relate critical values and critical points to the action functional for which (1.1) is the Euler-Lagrang...
متن کاملذخیره 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: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9020139