Existence of Weak Solutions to a Class of Nonlinear Elliptic Boundary Value Problems

The existence of weak solutions to a class of elliptic boundary value problems is investigated. A priori estimates are obtained by considering the auxiliary linear problem which is an approximation to the given problem. The existence and uniqueness of the weak solution is established by Banach’s fixed point theorem. An illustrative example is given to demonstrate applicability

Elliptic boundary value problems, A priori estimates, Weak solutions, Schaefer’s fixed point theorem

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