Existence and regularity to an elliptic equation with logarithmic nonlinearity
نویسندگان
چکیده
منابع مشابه
An Elliptic Equation with No Monotonicity Condition on the Nonlinearity
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was o...
متن کاملRupture Solutions of an Elliptic Equation with a Singular Nonlinearity
We construct infinitely many non-radial rupture solutions of the equation ∆u = 1 up in RN\{0}, u(0) = 0, N ≥ 3 with p > pc(N − 1) := N − 1− 2 √ N − 2 2 √ N − 2− (N − 5) .
متن کاملExistence and regularity of positive solutions for an elliptic system ∗
In this paper, we study the existence and regularity of positive solution for an elliptic system on a bounded and regular domain. The non linearities in this equation are functions of Caratheodory type satisfying some exponential growth conditions.
متن کاملNonhomogeneous Reenement Equation: Existence, Regularity and Biorthogonality
In this paper, the existence, regularity and biorthogonality of the solution of the nonhomogeneous reenement equation (x) = X k2Z Z d 0 c k (2x ? k) + G(x); x 2 IR d are considered. Also new class of biorthogonal wavelet basis on a non-uniform grid is constructed.
متن کاملA Fourth Order Nonlinear Elliptic Equation with Jumping Nonlinearity
We investigate the existence of solutions of the fourth order nonlinear elliptic boundary value problem under Dirichlet boundary condition A2u + CAU = bu+ + f in 0, where R is a bounded open set in Rn with smooth boundary and the nonlinearity bu+ crosses eigenvalues of A2 + CA. We also investigate a relation between multiplicity of solutions and source terms of the equation with the nonlinearit...
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: 2009
ISSN: 0022-0396
DOI: 10.1016/j.jde.2008.06.035