Nonresonance Conditions on the Potential for a Semilinear Elliptic Problem
نویسندگان
چکیده
منابع مشابه
Nonresonance Conditions for a Semilinear Beam Equation
In this paper we study the existence of periodic weak solutions of semilinear beam equations in the case of nonresonance. AMS Subject Classifications: 35J65, 35J25.
متن کاملNonresonance Conditions for a Nonlinear Hyperbolic Problem
In this paper we study the existence of periodic weak solutions of semilinear wave equations in the case of nonresonance. AMS subject classification: 35J65, 35J25.
متن کاملOn a singular nonlinear semilinear elliptic problem
where K(x)μC2,b(V9 ), a, pμ(0, 1) and l is a real parameter. Such singular elliptic problems arise in the contexts of chemical heterogeneous catalysts, nonNewtonian fluids and also the theory of heat conduction in electrically conducting materials, see [3, 5, 8, 9] for a detailed discussion. Obviously (1.1) cannot have a solution uμC2(V9 ) if K(x) is not vanishing near ∂V. However, under variou...
متن کاملA two-phase free boundary problem for a semilinear elliptic equation
In this paper we study a two-phase free boundary problem for a semilinear elliptic equation on a bounded domain $Dsubset mathbb{R}^{n}$ with smooth boundary. We give some results on the growth of solutions and characterize the free boundary points in terms of homogeneous harmonic polynomials using a fundamental result of Caffarelli and Friedman regarding the representation of functions whose ...
متن کاملSolvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential
Problem of the type −∆pu = f(u) + h(x) in (a, b) with u = 0 on {a, b} is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of (−∆p,W 1,p 0 (a, b)), only on a primitive of f .
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 Differential Equations
سال: 1994
ISSN: 0022-0396
DOI: 10.1006/jdeq.1994.1028