MULTIPLICITY RESULTS FOR SOME ELLIPTIC PROBLEMS OF $n$-LAPLACE TYPE

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 Perturbed Fourth-order Kirchhoff-type Problems

Existence, Uniqueness and Multiplicity of Positive Solutions for Some Nonlocal Singular Elliptic Problems

In this article, using the sub-supersolution method and Rabinowitztype global bifurcation theory, we prove some results on existence, uniqueness and multiplicity of positive solutions for some singular nonlocal elliptic problems.

Existence, Multiplicity, Perturbation, and Concentration Results for a Class of Quasi-linear Elliptic Problems

The aim of this monograph is to present a comprehensive survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for the quasi-linear elliptic equation

Multiplicity of Solutions for Elliptic Boundary Value Problems

In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation −∆u+a(x)u = f(x, u) in a bounded domain of RN (N ≥ 3) with the Dirichlet boundary conditions, where the primitive of the nonlinearity f is either superquadratic at infinity or subquadratic at zero.