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We consider the problem of finding the shortest path connecting two given points of the Euclidian plane which has given initial and final tangent angles and initial and
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Therefore, with the weak form of the positive mass theorem, the strict inequality of Theorem 2 is satisfied by locally conformally flat manifolds and by manifolds of dimensions 3, 4
Conley index, elliptic equation, critical point theory, fixed point index, superlinear problem.. Both authors are partially supportedby the Australian
It is well known that the inverse problems for the parabolic equations are ill- posed apart from this the inverse problems considered here are not easy to handle due to the
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