[1] V. N. Pavlenko, “Suschestvovanie reshenii nelineinykh uravnenii s razryvnymi monotonnymi operatorami”, Vestn. Mosk. un-ta. Ser. 1: Matematika. Mekhanika, 1973, no. 6, 21–29

[2] V. N. Pavlenko, “O razreshimosti nelineinykh uravnenii s razryvnymi operatorami”, Dokl. Akad. nauk SSSR, 204:6 (1972), 1320–1323

[3] V. N. Pavlenko, “Teoremy suschestvovaniya dlya ellipticheskikh variatsionnykh neravenstv s kvazipotentsialnymi operatorami”, Differents. uravneniya, 24:8 (1988), 1397–1402

[4] V. N. Pavlenko, “Semiregular solutions of elliptic variational inequalities with discontinuous nonlinearities”, Ukrainian Mathematical Journal, 43:2 (1991), 201–205

[5] V. N. Pavlenko, “Variatsionnyi metod dlya uravnenii s razryvnymi operatorami”, Vestn. Chelyab. un-ta. Ser. 3. Matematika. Mekhanika, 1994, no. 1, 87–95

[6] V. N. Pavlenko, “O suschestvovanii polupravilnykh reshenii zadachi Dirikhle dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Ukrain. mat. zhurn., 41:12 (1989), 1659–1664

[7] V. N. Pavlenko, “Suschestvovanie reshenii nelineinykh uravnenii s razryvnymi polumonotonnymi operatorami”, Ukrain. mat. zhurn., 33:4 (1981), 547–551

[8] V. N. Pavlenko, “Metod monotonnykh operatorov dlya uravnenii s razryvnymi nelineinostyami”, Izv. vuzov. Matematika, 1991, no. 6, 38–45

[9] V. N. Pavlenko, “O razreshimosti variatsionnykh neravenstv s razryvnymi polumonotonnymi operatorami”, Ukrain. mat. zhurn., 45:3 (1993), 443–447

[10] V. N. Pavlenko, “O suschestvovanii polupravilnykh reshenii pervoi kraevoi zadachi dlya uravneniya parabolicheskogo tipa s razryvnoi nemonotonnoi nelineinostyu”, Differents. uravneniya, 27:3 (1991), 520–526

[11] V. N. Pavlenko, Uravneniya i variatsionnye neravenstva s razryvnymi nelineinostyami, avtoref. dis. ...d-ra fiz.-mat. nauk, In-t matematiki i mekhaniki UrO RAN, Ekaterinburg, 1995

[12] V. N. Pavlenko, “Upravlenie singulyarnymi raspredelennymi sistemami parabolicheskogo tipa s razryvnymi nelineinostyami”, Ukrain. mat. zhurn., 46:6 (1994), 729–736

[13] V. N. Pavlenko, “Ob odnom klasse zadach upravleniya raspredelennymi sistemami parabolicheskogo tipa s razryvnymi nelineinostyami”, Izv. RAN. Tekhn. kibernetika, 1994, no. 4, 204–209

[14] V. N. Pavlenko, “Upravlenie raspredelennymi sistemami ellipticheskogo tipa s razryvnymi nelineinostyami”, Differents. uravneniya, 31:9 (1995), 1586–1587

[15] V. N. Pavlenko, O. V. Ulyanova, “Metod verkhnikh i nizhnikh reshenii dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Izv. vuzov. Matematika., 1998, no. 11, 69–76

[16] V. N. Pavlenko, O. V. Ul'yanova, “Method of upper and lower solutions for parabolic-type equations with discontinuous nonlinearities”, Differential Equations, 38:4 (2002), 520–527

[17] V. N. Pavlenko, “Silnye resheniya periodicheskikh parabolicheskikh zadach s razryvnymi nelineinostyami”, Differents. uravneniya, 52:4 (2016), 528–538

[18] V. N. Pavlenko, D. K. Potapov, “Existence of a ray of eigenvalues for equations with discontinuous operators”, Siberian Mathematical Journal, 42:4 (2001), 766–773

[19] V. N. Pavlenko, R. S. Iskakov, “Nepreryvnye approksimatsii razryvnykh nelineinostei polulineinykh uravnenii ellipticheskogo tipa”, Ukrain. mat. zhurn., 51:2 (1999), 224–233

[20] V. N. Pavlenko, D. K. Potapov, “Approksimatsiya kraevykh zadach ellipticheskogo tipa so spektralnym parametrom i razryvnoi nelineinostyu”, Izv. vuzov. Matematika, 2005, no. 4, 49–55

[21] M. G. Leptchinski, V. N. Pavlenko, “Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity”, Siberian Mathematical Journal, 46:1 (2005), 111–118

[22] V. N. Pavlenko, M. G. Lepchinskii, “Pravilnye resheniya ellipticheskikh kraevykh zadach s razryvnymi nelineinostyami”, Algebra i analiz, 17:3 (2005), 124–138

[23] V. N. Pavlenko, V. V. Vinokur, “Rezonansnye kraevye zadachi dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Izv. vuzov. Matematika, 2001, no. 5, 43–58

[24] V. N. Pavlenko, V. V. Vinokur, “Existence theorems for equation with noncoercive discontinuous operators ”, Ukrainian Mathematical Journal, 54:3 (2002), 429–447

[25] V. N. Pavlenko, E. A. Chizh, “Existence theorem for one class of strongly resonance boundary-value problems of elliptic type with discontinuous nonlinearity”, Ukrainian Mathematical Journal, 57:1 (2005), 121–131

[26] V. N. Pavlenko, E. A. Chizh, “Silno rezonansnye ellipticheskie variatsionnye neravenstva s razryvnymi nelineinostyami”, Izv. vuzov. Matematika, 2005, no. 7, 49–56

[27] I. F. Galikhanov, V. N. Pavlenko, “Periodicheskie resheniya telegrafnogo uravneniya s razryvnoi nelineinostyu”, Ufim. mat. zhurn., 4:2 (2012), 74–79

[28] V. N. Pavlenko, T. A. Petrash, “Periodicheskie resheniya uravneniya kolebanii struny s granichnymi usloviyami Neimana i Dirikhle i razryvnoi nelineinostyu”, Tr. In-ta matematiki i mekhaniki UrO RAN, 18, no. 2, 2012, 199–204

[29] V. N. Pavlenko, M. S. Fedyashev, “Periodic solutions of a parabolic equation with homogeneous Dirichlet boundary condition and linearly increasing discontinuous nonlinearity”, Ukrainian Mathematical Journal, 64:8 (2013), 1231–1240

[30] V. N. Pavlenko, D. K. Potapov, “Suschestvovanie polupravilnykh reshenii ellipticheskikh spektralnykh zadach s razryvnymi nelineinostyami”, Mat. sb., 206:9 (2015), 121–138

[31] V. N. Pavlenko, D. K. Potapov, “Suschestvovanie reshenii nevariatsionnoi ellipticheskoi kraevoi zadachi s parametrom i razryvnoi nelineinostyu”, Mat. tr., 2016, no. 1, 91–105

[32] V. N. Pavlenko, D. K. Potapov, “Suschestvovanie dvukh netrivialnykh reshenii v zadachakh na sobstvennye znacheniya dlya uravnenii s razryvnymi pravymi chastyami pri dostatochno bolshikh znacheniyakh spektralnogo parametra”, Mat. sb., 208:1 (2017), 165–182

[33] V. N. Pavlenko, D. K. Potapov, “Suschestvovanie trekh netrivialnykh reshenii ellipticheskoi kraevoi zadachi s razryvnoi nelineinostyu v sluchae silnogo rezonansa”, Mat. zametki, 101:2 (2017), 247–261

[34] V. N. Pavlenko, D. K. Potapov, “Ob otsenkakh spektralnogo parametra ellipticheskikh kraevykh zadach s razryvnymi nelineinostyami”, Sib. mat. zhurn., 58:2 (2017), 375–385