An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems
نویسندگان
چکیده
We prove the existence and multiplicity of weak solutions for a mixed local-nonlocal problem at resonance. In particular, we consider not necessarily positive operator which appears in models describing propagation flames. A careful adaptation well known variational methods is required to deal with possible negative eigenvalues.
منابع مشابه
LANDESMAN { LAZER TYPE PROBLEMS AT AN EIGENVALUE 75 Lemma
The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear diierential equation of the fourth order 1. The general theory Let X be a real Banach space with the norm k k and let D(L) X be the domain of the closed Fredholm operator L : D(L) ! X with index zero. We shall suppose that 0 is ...
متن کاملLandesman Lazer type results for first order periodic problems
Existence of nonnegative solutions are established for the periodic problem y = f(t, y) a.e. on [0, T ], y(0) = y(T ). Here the nonlinearity f satisfies a Landesman Lazer type condition.
متن کاملOrder-type existence theorem for second order nonlocal problems at resonance
This paper gives an abstract order-type existence theorem for second order nonlocal boundary value problems at resonance and obtain existence criteria for at least two positive solutions, where $f$ is a continuous function. Our results generalize or extend related results in the literature and give a positive answer to the question raised in the literature. An example is given to illustr...
متن کاملAn Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay
and Applied Analysis 3 Then, for every t ∈ J, we have
متن کاملPeriodic solutions to second order nonautonomous differential systems with gyroscopic forces
Keywords: Second order differential systems Saddle point theorem Generalized Ahmad–Lazer–Paul type condition a b s t r a c t Existence of periodic solutions to second order differential systems with gyroscopic forces is considered via variational methods, where a generalized Ahmad–Lazer–Paul type condition is used. We do not impose the condition that the gyroscopic forces are small.
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: Journal of Mathematical Analysis and Applications
سال: 2023
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2023.127442