Multiple solutions for superlinear double phase Neumann problems

نویسندگان

چکیده

Abstract We study a double phase Neumann problem with superlinear reaction which need not satisfy the Ambrosetti-Rabinowitz condition. Using Nehari manifold method, we show that has at least three nontrivial bounded ground state solutions, all sign information (positive, negative and nodal).

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

On Neumann “superlinear” elliptic problems

In this paper we are going to show the existence of a nontrivial solution to the following model problem,

متن کامل

Multiple Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems

We consider the problem " 2 u ? u + f (u) = 0 in u > 0 in ; @u @ = 0 on @; where is a bounded smooth domain in R N , " > 0 is a small parameter and f is a superlinear, subcritical nonlinearity. It is known that this equation possesses boundary spike solutions such that the spike concentrates, as " approaches zero, at a critical point of the mean curvature function H(P); P 2 @. It is also known ...

متن کامل

Existence of multiple solutions for Sturm-Liouville boundary value problems

In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.

متن کامل

Multiple Solutions of Superlinear Equations 99 2

— We give some multiplicity results on existence of nontrivial solutions for superlinear elliptic equations with a saddle structure near 0. We make use of a combination of bifurcation theory and minimax methods.

متن کامل

INFINITELY MANY SOLUTIONS FOR A CLASS OF P-BIHARMONIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS

The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.

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: Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas

سال: 2021

ISSN: ['1578-7303', '1579-1505']

DOI: https://doi.org/10.1007/s13398-021-01164-7