We establish the existence of an entire solution for a class of stationary Schrödinger equations with subcritical discontinuous nonlinearity and lower bounded potential that blows-up at infinity. The abstract framework is related to Lebesgue–Sobolev spaces with variable exponent. The proof is based on the critical point theory in the sense of Clarke and we apply Chang’s version of the Mountain ...

Abstract. We study the boundary value problem −div((|∇u|1 + |∇u|2)∇u) = f(x, u) in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain in R . We focus on the cases when f±(x, u) = ±(−λ|u| u+ |u|u), where m(x) := max{p1(x), p2(x)} < q(x) < N ·m(x) N−m(x) for any x ∈ Ω. In the first case we show the existence of infinitely many weak solutions for any λ > 0. In the second case we prove that if λ is...

BACKGROUND Identifying suitable site for growing mountain-cultivated ginseng is a concern for ginseng producers. This study was conducted to evaluate the soil properties of cultivation sites for mountain-cultivated ginseng in Hamyang-gun, which is one of the most well-known areas for mountain-cultivated ginseng in Korea. METHODS The sampling plots from 30 sites were randomly selected on or ne...

[1] ‏ahmad, s. and simonovic, s.p. (2005). an artificial neural network model for generating hydrograph from hydrometeorological parameters, j. hydrol, 315, 236-251. [2] agarwal, a., mishra, s.k., ram, s. and singh, j.k. (2006). simulation of runoff and sediment yield using artificial neural networks, biosys. eng, 94(4), 597-613. [3] amini, m., abbaspour, k.c., khademi, h., fathianpour, n., afy...

In her article, "Nobel Laureate 2000 Gao Xingjian and his Novel Soul Mountain," Mabel Lee introduces Gao Xingjian, the winner of the Nobel Prize in Literature of 2000. Lee is the translator of several of Gao's works from the Chinese into English, including the Nobel's main text of reference, Soul Mountain (first published in Chinese in 1990). Lee's article combines descriptions of Gao's biograp...

Mountain chains of Central Asia host a large number of glaciated areas that provide critical water supplies to the semi-arid populated foothills and lowlands of this region. Spatio-temporal variations of glacier flows are a key indicator of the impact of climate change on water resources as the glaciers react sensitively to climate. Satellite remote sensing using optical imagery is an efficient...

the present study carried out to identify neo tectonic activity of the gorgan river basin in golestan province, in north of eastern alborz range is investigated by four geomorphic indices including the stream– gradient index (sl), drainage basin asymmetry (af), reveres symmetry of topography (t) and mountain front sinuosity (smf). result from the analysis is accumulated and expressed as an in...