By Castorina D., Mancini G.

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**Additional info for Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter**

**Example text**

Applications of the triple integral . . . . . . . . . . . . . . Elementary regions of curved surfaces . . . . . . . . . . . . . 1 Roots of the Legendre polynomial of the first kind . . . . . . . . . . 1 Relations between the components of a vector in Cartesian, cylindrical, and spherical coordinates . . . . . . . . . . . . . . . . . . . . 2 Fundamental relations for spatial differential operators . . . . . . . . 3 Expressions of vector analysis in Cartesian.

12 Basic integrals . . . . . . . . . . . . . . . . . . . Important rules of calculation of indefinite integrals . . . . . . . . . Substitutions for integration of irrational functions I . . . . . . . . . Substitutions for integration of irrational functions I1 . . . . . . . . . Important properties of definite integrals . . . . . . . . . . . . Line integrals of the first type . . . . . . . . . . . . . . . Curve elements .

Elementary regions of curved surfaces . . . . . . . . . . . . . 1 Roots of the Legendre polynomial of the first kind . . . . . . . . . . 1 Relations between the components of a vector in Cartesian, cylindrical, and spherical coordinates . . . . . . . . . . . . . . . . . . . . 2 Fundamental relations for spatial differential operators . . . . . . . . 3 Expressions of vector analysis in Cartesian. cylindrical, and spherical coordinates .