Existence and Nonexistence of Positive Solutions for a Weighted Quasilinear Elliptic System
نویسندگان
چکیده
This paper deals with the existence and nonexistence of solutions for following weighted quasilinear elliptic system, S μ 1 , 2 q open="{" − div x open="|" close="|" ∇ u p = + α v β in mathvariant="normal">Ω > 0 class="cond"> on ∂ where id="M2"> ⊂ mathvariant="normal">ℜ N ≥ 3 ≤ < , id="M3"> id="M4"> ∈ W ∩ C ¯ id="M5"> id="M6"> id="M7"> id="M8"> id="M9"> satisfy id="M10"> ∗ id="M11"> / is critical Sobolev exponent. By means variational methods we prove positive which depends on behavior weights id="M12"> id="M13"> near their minima dimension id="M14"> . Moreover, use well known Pohozaev identity result.
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2023
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2023/8629590