Zobrazeno 1 - 10
of 536
pro vyhledávání: '"Mountain Pass Lemma"'
Solutions for fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type equations in R N $\mathbb{R}^{N}$
Autor:
Lili Wan
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-12 (2024)
Abstract In this paper, we discuss the fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type equations M ( ∫ R N × R N 1 p ( x , y ) | u ( x ) − u ( y ) | p ( x , y ) | x − y | N + s p ( x , y ) d x d y ) ( − Δ p ( x , . ) ) s u + | u | p
Externí odkaz:
https://doaj.org/article/6e221c1895e24eafb33ec122ab86fcb7
Publikováno v:
Communications in Analysis and Mechanics, Vol 16, Iss 3, Pp 578-598 (2024)
In this paper, the following critical Kirchhoff-type elliptic equation involving a logarithmic-type perturbation$ -\Big(a+b\int_{\Omega}|\nabla u|^2\mathrm{d}x\Big)\Delta u = \lambda|u|^{q-2}u\ln |u|^2+\mu|u|^2u $is considered in a bounded domain in
Externí odkaz:
https://doaj.org/article/10dfb8a0d9fe478cb0c9deacf333ac50
Publikováno v:
Bulletin of Mathematical Sciences, Vol 14, Iss 03 (2024)
In this paper, we investigate the following fractional Nirenberg problem: Pσg𝕊n(u) = c(n,σ)Rσḡ(x)un+2σ n−2σon𝕊n, where [Formula: see text] is fractional order conformal invariant operator and [Formula: see text] is the [Formula: see te
Externí odkaz:
https://doaj.org/article/96eb47aa8fa44c05aacbfc5e18b50aa6
Autor:
Bełdziński Michał, Galewski Marek
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 349-381 (2024)
Using the Ekeland variational principle and the mountain pass lemma we prove some properties about potential homeomorphisms between a real Banach space and its dual. In particular, we show that a locally monotone homeomorphism is necessarily strictly
Externí odkaz:
https://doaj.org/article/4646227e539f4100b902da549db60a3a
Publikováno v:
Axioms, Vol 13, Iss 7, p 450 (2024)
A class of semi-linear elliptic equations with the critical Hardy–Sobolev exponent has been considered. This model is widely used in hydrodynamics and glaciology, gas combustion in thermodynamics, quantum field theory, and statistical mechanics, as
Externí odkaz:
https://doaj.org/article/a8c0036c5b514bee8210503dad2cb734
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Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 9, Iss 3, Pp 407-419 (2023)
We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r
Externí odkaz:
https://doaj.org/article/a9d28d8225f54eca90bcf1f8ea928c52
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 159-215 (2023)
This article shows the existence and multiplicity of solutions for the following pp-Kirchhoff-type equation: a+b∫RN(∣∇u∣p+V(x)∣u∣p)dx(−△pu+V(x)∣u∣p−2u)=λg(x)∣u∣r−2u−h(x)∣u∣q−2u,inRN.\left(a+b\mathop{\int }\limits_
Externí odkaz:
https://doaj.org/article/422042e20bf945839db0beb532a57007
Publikováno v:
Electronic Research Archive, Vol 31, Iss 9, Pp 5286-5312 (2023)
In this paper, we study the following Kirchhoff-type system: $ \begin{equation} \left\{ \begin{array}{ll} -(a_{1}+b_{1}\int_{\mathbb{R}^{3}}|\nabla u|^{2}dx)\Delta u = \frac{2\alpha}{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta}+\varepsilon f(x), \\ -(a
Externí odkaz:
https://doaj.org/article/c09f3d441d954197ab64769115939c2e
Autor:
Lin-Lin Wang, Yong-Hong Fan
Publikováno v:
Mathematics, Vol 12, Iss 11, p 1616 (2024)
The following semi-linear elliptic equations involving Hardy–Sobolev critical exponents −Δu−μux2=u2*s−2xsu+g(x,u),x∈Ω∖0,u=0,x∈∂Ω have been investigated, where Ω is an open-bounded domain in RNN≥3, with a smooth boundary ∂Ω,
Externí odkaz:
https://doaj.org/article/07df464f82184156a93cb0db889eb85a