Results 11 to 20 of about 838 (110)
Positive Solutions for Resonant (p, q)-equations with convection
Advances in Nonlinear Analysis, 2020 We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift
Liu Zhenhai, Papageorgiou Nikolaos S.
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Advanced Nonlinear Studies, 2021 In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
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Advanced Nonlinear Studies, 2022 We study the existence of solutions for the quasilinear Schrödinger equation with the critical exponent and steep potential well. By using a change of variables, the quasilinear equations are reduced to a semilinear one, whose associated functionals ...
Xue Yan-Fang +2 more
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Small perturbations of critical nonlocal equations with variable exponents
Demonstratio Mathematica, 2023 In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
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On continuous dependence for the mixed problem of microstretch bodies
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We do a qualitative study on the mixed initial-boundary value problem in the elastodynamic theory of microstretch bodies. After we trans- form this problem in a temporally evolutionary equation on a Hilbert space, we will use some results from the theory
Marin M., Abbas I., Cârstea C.
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p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities
Advances in Nonlinear Analysis, 2018 This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator.
Fiscella Alessio +2 more
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Acta Universitatis Sapientiae: Mathematica, 2023 In this paper we study a Neumann boundary value problem of a new p(x)-Kirchhoff type problems driven by p(x)-Laplacian-like operators. Using the theory of variable exponent Sobolev spaces and the method of the topological degree for a class of ...
Ouaarabi Mohamed El +2 more
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Three solutions for equations involving nonhomogeneous operators of p-Laplace type in RN
Journal of Inequalities and Applications, 2014 In this paper, we are concerned with the following elliptic equation −div(φ(x,∇u))=λf(x,u)in RN, where the function φ(x,v) is of type |v|p−2v and f:RN×R→R satisfies a Carathéodory condition.
Eun Bee Choi, Yun-Ho Kim
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Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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Least energy sign-changing solutions for a nonlocal anisotropic Kirchhoff type equation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[u]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm,\left( {1 + b\left[ u \right]_\alpha ^2} \right ...
Rahmani Mohammed +3 more
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