Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity
Advances in Nonlinear Analysis, 2017 We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
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Analysis of positive solutions for classes of quasilinear singular problems on exterior domains
Advances in Nonlinear Analysis, 2017 We consider the ...
Chhetri Maya +2 more
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Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
Forum of Mathematics, SigmaIn this paper we prove a general uniqueness result in the inverse boundary value problem for the weighted p-Laplace equation in the plane, with smooth weights.
Catalin Carstea, Ali Feizmohammadi
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Solutions of vectorial Hamilton–Jacobi equations are rank-one absolute minimisers in L∞L^{\infty}
Advances in Nonlinear Analysis, 2017 Given the supremal functional E∞(u,Ω′)=esssupΩ′H(⋅,Du){E_{\infty}(u,\Omega^{\prime})=\operatornamewithlimits{ess\,sup}_{\Omega^{% \prime}}H(\,\cdot\,,\mathrm{D}u)}, defined on Wloc1,∞(Ω,ℝN){W^{1,\infty}_{\mathrm{loc}}(\Omega,\mathbb{R}^{N})}, with ...
Katzourakis Nikos
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Generalized quasi-linear fractional Wentzell problems
Advances in Nonlinear AnalysisGiven a bounded (ε,δ)\left(\varepsilon ,\delta )-domain Ω⊆RN\Omega \subseteq {{\mathbb{R}}}^{N} (N≥2N\ge 2) whose boundary Γ≔∂Ω\Gamma := \partial \Omega is a dd-set for d∈(N−p,N)d\in \left(N-p,N), we investigate a generalized quasi-linear elliptic ...
Mesino-Espinosa Efren +1 more
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Analysis and Geometry in Metric Spaces, 2019 The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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On singularly perturbed (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity
Advanced Nonlinear StudiesThis article focuses on the study of the existence, multiplicity and concentration behavior of ground states as well as the qualitative aspects of positive solutions for a (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity and critical ...
Mahanta Deepak Kumar +2 more
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A class of semipositone p-Laplacian problems with a critical growth reaction term
Advances in Nonlinear Analysis, 2019 We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
Perera Kanishka +2 more
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Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential
, 2016 We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq 2$,$ N \geq 2$, $(-\Delta)^{s ...
Ambrosio, Vincenzo
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Existence of nontrivial weak solutions for a quasilinear Choquard equation. [PDF]
J Inequal Appl, 2018 Lee J, Kim JM, Bae JH, Park K.
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