On a problem of lower limit in the study of nonresonance.

The existence of nonnegative radial solutions for some systems of m (m ≥ 1) quasilinear elliptic equations is proved by a simple application of a fixed point theorem in cones.

Asymptotic behavior of solutions to some homogeneous second-order evolution equations of monotone type.

Rouhani, Behzad Djafari, Khatibzadeh, Hadi (2007)

Journal of Inequalities and Applications [electronic only]

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Existence of blowup solutions for nonlinear problems with a gradient term.

Toumi, Faten (2006)

International Journal of Mathematics and Mathematical Sciences

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Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

Czechoslovak Mathematical Journal

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Existence results are established for the resonant problem $y^{''} + λ_{m} a y = f (t, y)$ a.e. on $[0, 1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a \in L_{l o c}^{1} (0, 1)$ with $a > 0$ a.e. on $[0, 1]$ and $\int_{0}^{1} x (1 - x) a (x) d x < \infty$ .

A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities.

Lair, Alan V. (1990)

International Journal of Mathematics and Mathematical Sciences

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