Sentence examples for positive grounds for from inspiring English sources

The existence of possible replies to a set of objections does not, in itself, provide positive grounds for endorsing a theory.

The Nasdaq has been on positive ground for the last month.

It remains to look for a positive ground state for (NLS).

We prove the existence of positive ground states for the nonlinear Schrödinger system.

Below we argue analogously with the proof of Theorem 1.1 to get a positive ground state for (NLS).

In [19], by using a monotonicity trick and a global compactness lemma, Li and Ye obtained the positive ground state for problem (1.2) when (f x,u)= vert u vert ^{p-2}u) and (pin 3,frac{2N}{N-2})).

The existence of a positive ground state for the problem (NLS) p implies that (NLS) has a positive ground state when a = a p and b = b p. So, it remains to consider a ≠ a p or b ≠ b p. (5.2).

In this paper, we are concerned with the existence of positive ground states for the nonlinear Schrödinger system in W 1, 2 ( R N ) × W 1, 2 ( R N ) ( N ≥ 2 ) { − Δ u + ( 1 + a ( x ) ) u = F u ( u, v ) + λ v, − Δ v + ( 1 + b ( x ) ) v = F v ( u, v ) + λ u, (NLS).

If these, too, come back positive, then grounds for scepticism will be much diminished.

Precisely, we will find a family of positive ground-state solutions for (1.1) with some properties, such as concentration and exponential decay.

By a generalized linking theorem, Li and Yang [8] proved the system has a positive ground state solution for (V=1) and an asymptotically quadratic nonlinearity.