MSC:
35-02,
35A05,
35A25,
35F30,
47H05,
47H15,
65J15 | MR 1065003 | Zbl 0724.47025 | DOI: 10.21136/AM.1990.104411

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monotone; pseudomonotone operators; operators satisfying $S$, $M$ conditions; existence theorems for boundary value problems for differential equations

References:

[2] P. Doktor: **Modern methods of solving partial differential equations**. (Czech), Lecture Notes, SPN, Prague, 1976.

[3] S. Fučík: **Solvability of nonlinear equations and boundary value problems**. D. Reidel Publ. Соmр., Dordrecht; JČSMF, Prague, 1980. MR 0620638

[4] S. Fučík A. Kufner: **Nonlinear differential equations**. Czech edition - SNTL, Prague 1978; English translation - Elsevier, Amsterdam 1980. MR 0558764

[5] S. Fučík J. Milota: **Mathematical analysis II**. (Czech), Lecture Notes, SPN, Prague 1980.

[6] S. Fučík J. Nečas J. Souček V. Souček: **Spectral analysis of nonlinear operators**. Lecture Notes in Math. 346, Springer, Berlin 1973; JCSMF, Prague 1973. MR 0467421

[7] R. I. Kačurovskij: **Nonlinear monotone operators in Banach spaces**. (Russian), Uspechi Mat. Nauk 23 (1968), 2, 121-168. MR 0226455

[8] D. Kinderlehrer G. Stampacchia: **An introduction to variational inequalities and their applications**. Academic Press, New York 1980; Russian translation - Mir, Moscow 1983. MR 0738631

[9] A. N. Kolmogorov S. V. Fomin: **Introductory real analysis**. (Russian), Moscow 1954, English translation - Prentice Hall, New York 1970, Czech translation - SNTL, Prague 1975. MR 0267052

[10] A. Kufner O. John S. Fučík: **Function spaces**. Academia, Prague 1977. MR 0482102

[11] J. Nečas: **Introduction to the theory of nonlinear elliptic equations**. Teubner-Texte zur Math. 52, Leipzig, 1983. MR 0731261

[12] D. Pascali S. Sburlan: **Nonlinear mappings of monotone type**. Editura Academiei, Bucuresti 1978. MR 0531036

[13] A. Pultr: **Subspaces of Euclidean spaces**. (Czech), Matematický seminář - 22, SNTL, Prague 1987.

[14] E. Zeidler: **Lectures on nonlinear functional analysis II - Monotone operators**. (German), Teubner-Texte zur Math. 9, Leipzig 1977; Revised extended English translation: Nonlinear functional analysis and its application II, Springer, New York (to appear). MR 0628004

[15] J. Nečas: **Nonlinear elliptic equations**. (French), Czech. Math. J. 19 (1969), 252-274.

[16] M. Feistauer A. Ženíšek: **Compactness method in the finite element theory of nonlinear elliptic problems**. Numer. Math. 52 (1988), 147-163. DOI 10.1007/BF01398687 | MR 0923708