This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.
Lymphoepithelioma-like carcinoma of the bladder (LELCB) is a rare variant of urothelial carcinoma first described by Zukerberg in 1991 and confirmed as a variant of urothelial carcinoma by the WHO classification of tumors of the urinary system. LELCB is characterized by a marked infiltration of lymphocytes in the area involved by the tumor which may coexist with the conventional urothelial carcinoma. LELCB are classified according to the percentage of lymphoepithelioma component within the tumor with the prognosis depending on the percentage. We report a new case of pure LELCB occurring in 63-year-old woman presenting with hematuria. Ultrasonography and cystoscopy revealed a large tumor on the left lateral wall of the bladder. Transurethral resection of the bladder tumor (TURBT) was performed. Pathological and immunohistochemical analysis revealed a high-grade muscle-invasive LELCB (G3pT2). The patient underwent an adjuvant systemic chemotherapy with no recurrence after a ten-month follow-up. To our knowledge, this is the second Moroccan case of LELCB reported in the English literature. Although its rare occurrence prognosis and ideal therapeutic management of LELCB have not been clearly established yet, literature findings encourage the adoption of a conservative approach in treatment of LELCB.
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