Existence Results for apx-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition
نویسندگان
چکیده
منابع مشابه
Existence Results for a p(x)-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition
After the excellent work of Lions [2], problem (2) has received more attention; see [3–10] and references therein. The p(x)-Laplace operator arises from various phenomena, for instance, the image restoration [11], the electro-rheological fluids [12], and the thermoconvective flows of nonNewtonian fluids [13, 14].The study of thep(x)-Laplace operator is based on the theory of the generalized Leb...
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Let Ω be a bounded domain in R . In this paper, we consider the following nonlinear elliptic equation of N -Laplacian type: (0.1) { −∆Nu = f (x, u) u ∈ W 1,2 0 (Ω) \ {0} when f is of subcritical or critical exponential growth. This nonlinearity is motivated by the Moser-Trudinger inequality. In fact, we will prove the existence of a nontrivial nonnegative solution to (0.1) without the Ambrosett...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2013
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2013/914210