Constant sign and nodal solutions for parametric (p, 2)-equations

نویسندگان
چکیده

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

Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques

We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential hemivariational inequality and Dirichlet boundary condition. Using a variational approach based on nonsmooth critical point theory together with the method of upper and lower solutions, we prove the existence of at least three nontrivial smooth solutions: one positive, the second negative, and the thi...

متن کامل

Constant-sign solutions of a system of Volterra integral equations

We consider the following system of Volterra intergral equations

متن کامل

Parametric solutions for some Diophantine equations

Under some hypotheses we show that the Diophantine equation (1) has infinitely many solutions described by a family depending on k + 2 parameters. Some applications of the main result are given and some special equations are studied.

متن کامل

MONOTONE POSITIVE SOLUTIONS FOR p-LAPLACIAN EQUATIONS WITH SIGN CHANGING COEFFICIENTS AND MULTI-POINT BOUNDARY CONDITIONS

We prove the existence of three monotone positive solutions for the second-order multi-point boundary value problem, with sign changing coefficients, [p(t)φ(x′(t))]′ + f(t, x(t), x′(t)) = 0, t ∈ (0, 1), x′(0) = − l X i=1 aix (ξi) + m X i=l+1 aix (ξi), x(1) + βx′(1) = k X i=1 bix(ξi)− m X i=k+1 bix(ξi)− m X i=1 cix (ξi). To obtain these results, we use a fixed point theorem for cones in Banach s...

متن کامل

EXISTENCE OF POSITIVE AND SIGN-CHANGING SOLUTIONS FOR p-LAPLACE EQUATIONS WITH POTENTIALS IN R

We study the perturbed equation −ε div(|∇u|p−2∇u) + V (x)|u|p−2u = h(x, u) + K(x)|u| −2u, x ∈ R u(x)→ 0 as |x| → ∞ . where 2 ≤ p < N , p∗ = pN N−p , p < q < p ∗. Under proper conditions on V (x) and h(x, u), we obtain the existence and multiplicity of solutions. We also study the existence of solutions which change sign.

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: Advances in Nonlinear Analysis

سال: 2019

ISSN: 2191-950X

DOI: 10.1515/anona-2020-0009