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Multibump solutions for quasilinear elliptic equations
AbstractThe current paper is concerned with constructing multibump type solutions for a class of quasilinear Schrödinger type equations including the Modified Nonlinear Schrödinger Equations. Our results extend the existence results on multibump type solutions in Coti Zelati and Rabinowitz (1992) [17] to the quasilinear case.
Jiaquan Liu, Yu-Xia Guo, Zhi-Qiang Wang
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Local behavior of solutions of quasilinear elliptic equations with coefficients in Morrey spaces [PDF]
In this paper we prove a Harnack inequality for some quasilinear elliptic equations, extending the results in [6] and [5].
P. ZAMBONI
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Multiplicity of solutions for quasilinear elliptic equations [PDF]
Introduction The semilinear elliptic equation −∆u = g(x, u) has been the object of several studies in the last twenty years. For instance, let us mention the well-known result proved by Ambrosetti and Rabinowitz (cf. [1]): if g is superlinear and odd with respect to the second variable, then the above equation has a sequence of solutions uh ∈ H 0 (Ω ...
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Monotonicity and symmetry of singular solutions to quasilinear problems
We consider singular solutions to quasilinear elliptic equations under zero Dirichlet boundary condition. Under suitable assumptions on the nonlinearity we deduce symmetry and monotonicity properties of positive solutions via an improved moving plane ...
Esposito, Francesco+2 more
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In this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
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Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
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Quasilinear elliptic equations with natural growth
n ...
ABDELLAOUI B+3 more
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Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic ...
Monticelli, Dario D.+2 more
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Regularity Results for Quasilinear Elliptic Equations in the Plane [PDF]
For a planar domain Ω, we study the Dirichlet problem for the quasilinear elliptic equation $$ - divA\left( {x,\nabla v} \right) = f$$ when f belongs to the Zygmund space \(L{\left( {\log L} \right)^{\frac{1}{2}}}{\left( {\log \log \log L} \right)^{\frac{\beta }{2}}}\left( \Omega \right),\beta \ge 0.\).
De Cave, Linda Maria+2 more
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ABSTRACT Measuring ductile fracture toughness for materials requires the specimen size to be large enough for the tests to be valid. The presented work investigates the size related fracture behavior of as‐received and aged 316 L(N) stainless steel through an experimental approach. It focuses on the effects of the thickness and size of the specimens on
Sihan Cheng+4 more
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