Positive solutions for a quasilinear system Via blow up

Sharp asymptotics and compactness for local low energy solutions of critical elliptic systems in potential form

“…They have been the target of investigations for decades and are currently subject to an intensive research activity. Without any pretention to exhaustivity, we mention that possible references on elliptic systems are Amster et al [1], Angenent and Van der Vorst [2,3], Clément et al [13], De Figueiredo [14], De Figueiredo and Ding [15], De Figueiredo and Felmer [16], De Figueiredo and Sirakov [17], El Hamidi [21], Giaquinta and Martinazzi [22], Hebey [28][29][30], Hulshof et al [33], Jost et al [34], Jost and Wang [35], Mancini and Mitidieri [42], Mitidieri and Sweers [44], Montenegro [45], Pompino [47], Qing [48], and Sweers [60].…”

Boundary value problems for a class of quasilinear differential systems with singular nonlinearities

“…In this paper we are concerned with the existence and multiplicity of positive solutions in (1) are both equal to (N--1)/r.…”

“…Recently, existence and multiplicity of positive solutions of equations with p-Laplacian have been studied extensively by many authors(see, for example, [1][2][3][7][8][9][10]14] and the references therein). The positive radial solutions for second order semilinear equations with singular nonlinearities in annular domains have been treated by many authors, (see, for instance, [5][6][11][12][13][15][16] and the references therein).…”

On the existence of bounded solutions of nonlinear elliptic systems

“…A great attention was given to the existence of the solutions for a system of the (1.1) type, by using various approaches (cf. [3,4,5,7,13]). When the system has a variational structure, the existence of the solutions for (1.1) can be established by means of the variational approaches under adapted conditions (cf.…”