Resonance problems for the p-Laplacian systems

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

RESONANCE PROBLEMS FOR THE ONE-DIMENSIONAL p-LAPLACIAN

We consider resonance problems for the one dimensional p-Laplacian, and prove the existence of solutions assuming a standard LandesmanLazer condition. Our proofs use variational techniques to characterize the eigenvalues, and then to establish the solvability of the given boundary value problem.

متن کامل

STRONG RESONANCE PROBLEMS FOR THE ONE-DIMENSIONAL p-LAPLACIAN

We study the existence of the weak solution of the nonlinear boundary-value problem −(|u′|p−2u′)′ = λ|u|p−2u+ g(u)− h(x) in (0, π), u(0) = u(π) = 0 , where p and λ are real numbers, p > 1, h ∈ Lp (0, π) (p′ = p p−1 ) and the nonlinearity g : R → R is a continuous function of the Landesman-Lazer type. Our sufficiency conditions generalize the results published previously about the solvability of...

متن کامل

A Note on Strong Resonance Problems for P-laplacian

In this note, we study the existence of the weak solutions for the p-Laplacian with strong resonance, which generalizes the previous results in one-dimension.

متن کامل

Existence problems for the p-Laplacian

We consider a number of boundary value problems involving the p-Laplacian. The model case is −∆pu = V |u|p−2u for u ∈ W 1,p 0 (D) with D a bounded domain in R. We derive necessary conditions for the existence of nontrivial solutions. These conditions usually involve a lower bound for a product of powers of the norm of V , the measure of D, and a sharp Sobolev constant. In most cases, these ineq...

متن کامل

Multi-point Boundary-value Problems for the P-laplacian at Resonance

In this paper, we consider multi-point boundary-value problems for the p-laplacian at resonance. Applying an extension of Mawhin’s continuation theorem, we show the existence of at least one solution.

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: Journal of Mathematical Analysis and Applications

سال: 2008

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2008.04.001