Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Multiplicity Results for Nonlinear Eigenvalue Problems on Unbounded Domains

In this paper we prove a multiplicity result for a class of eigenvalue problems with nonlinear boundary conditions on an unbounded domain. Many results have been obtained by Cârstea and Rădulescu [3], Chabrowski [5], [6], Kandilakis and Lyberopoulos [10], Lisei, Varga and Horváth [13] and Pflüger [16]. MSC 2000. 35J60, 35P30, 58E05.

Existence and multiplicity results for nonlinear boundary value problems

This paper studies the existence of positive solutions for a class of boundary value problems of elliptic degenerate equations. By using bifurcation and fixed point index theories in the frame of approximation arguments, the criteria of the existence, multiplicity and nonexistence of positive solutions are established. c © 2007 Elsevier Ltd. All rights reserved.

Existence and Multiplicity of Solutions to Elliptic Problems with Discontinuities and Free Boundary Conditions

We study the nonlinear elliptic problem with discontinuous nonlinearity −∆u = f(u)H(u− μ) in Ω, u = h on ∂Ω, where H is the Heaviside unit function, f, h are given functions and μ is a positive real parameter. The domain Ω is the unit ball in Rn with n ≥ 3. We show the existence of a positive solution u and a hypersurface separating the region where −∆u = 0 from the region where −∆u = f(u). Our...

Existence of Positive Solutions for Nonlinear Eigenvalue Problems