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Esposito P.'s Compactness of a nonlinear eigenvalue problem with a PDF

By Esposito P.

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Additional info for Compactness of a nonlinear eigenvalue problem with a singular nonlinearity

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2 Intellectual discovery While the research process can be represented by a model of one kind or another, your own reasoning processes and intellectual discoveries are often much more complex and personal. When you are looking for questions to answer and answers to those questions, you will often follow a complex process of inductive and deductive reasoning. n Inductive reasoning. You start with your observations of the world and come to general conclusions about it. In other words, you build models and theories based on your interpretation of the world.

Past projects Usually your department or university library will hold copies of previous projects. These can provide you with working ideas (for example, on how you could develop the work further) and some sense of the scope and amount of work expected. Alternatively, you can use the Internet to search for past projects at other institutions. For example, PhDs are sometimes made available on-line. Past projects may also provide a suitable basis from which to start your own project – picking up from where a previous student left off.

Gerring, J. (2006) Case study research principles and practice, Cambridge University Press, UK. M. J. P. M. Singer, E. and Tourangeau, R. (2004) Survey methodology, Wiley Blackwell, Oxford, UK. K. (2008) Case study research design and methods (4th Edition), SAGE Publications, London. n Try to formulate your own definition of research and ask yourself what research means to you. 4 is appropriate for your own project. QXD 3/25/09 1:19 PM Page 39 CHAPTER 3 Choosing a project and writing a proposal Aims: To introduce techniques for choosing an appropriate project, and to discuss the skills needed to write a satisfactory project proposal.

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Compactness of a nonlinear eigenvalue problem with a singular nonlinearity by Esposito P.

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